How many kata are;

I only know :

heian shodan

heian nidan

heian sandan

heian yodan

heian godan

bassai dai

tikki shodan

jion

kanku dai

empi

sochin

gankaku

Are you practicing Shotokan Karate?

If so,

Heian Shodan, Nidan, Sandan, Yondan, Godan

Tekki Shodan, Nidan, Sandan

Bassai Dai, Bassai Sho

Kanku Dai, Kanku Sho

Gojushiho Dai, Gojushiho Sho

Ji'on, Ji'in

Empi

Hangetsu

Jitte

Gankaku

Nijushiho

Sochin

Meikyo

Unsu

Chinte

Wankan

Not all organizations will use all of the above kata, and I'm sure some use more.

Goju here, But here is what I know:

Taikyoku Jodan ichi & ni, Chudan ichi & ni, Gedan ichi & ni, Kake Uke ichi & ni, Mawashi Uke ichi & ni

Kongo ichi, ni

Gekisai ichi, ni, & san

Sanchin ichi, ni, & san

Tensho

Saifa

Sanseru

Seiyunchin (about 1/2 )

These are the Kata I know of and have at least some first hand experience with. I have tried to link them to their places of origin, so you will see some mentioned twice, as well as tried to provide any alternate names I know of. * references where the name has been used to name a series of kata with different origins. I have included only kata originating from Okinawa or influenced and developed using Okinawan methods.

Shuri

Naihanchi (Tekki)

Pinan (Heian)

Kūsankū (Kanku/Kushanku)

Passai (Bassai)

Jion

Jitte

Rohai (Meikyo)

Chinto (Gankaku)

Gojushiho

Taikyoku (*Shotokan)

Tomari

Naihanchi

Rōhai

Passai

Wanshū

Seisan

Naha

Sanchin

Saifā

Seienchin

Shisōchin

Seipai

Seisan

Sanseiru

Tensho

Kururunfa

Suparenpai

Amalgamated

Gekisai/Fyukyugata

Nippon

Taikyoku (*Goju Kai/Kyokushinkaikan)

Sokugi Taikyoku

Tai Sabaki

Seiryu/ Aoyagi

Juroku

Yantsu

Tsuki no Kata

Garyu

Unknown

Go Pei Sho

Dan Enn Shō

Sounds like you are training Shotokan which means there are 26, there is also a training kata which can sometimes be expanded to 3 versions.

But over all there are hundreds....

A lot of them are similar, or like the heian (Pinan) kata they were created from other longer kata. Some people think they are qualified to change them, others to create them, some boast about knowing loads of them but read about The story of reading poetry - sometimes it's better to know some really well than to know loads of them.

It's the study of the many applications and principles that will prove interesting...

There are hundreds of Kata spread across the styles. Some Kata appear in multiple styles with their own variation.

And some schools have Kata not found in other schools of the same style