A seven character insurance account number must be five lett

A seven character insurance account number must be five letters of the alphabet followed by a two digit number. How many different account numbers of this kind are possible?

we have 26 choices for each of 5 letters, and 10 choices for 2 digit, so product can be made in: 26*26*26*26*26* 10*10 = 1188137600 ways