Any number,

18!,19!,20!,... leaves remainder zero for they contain 18.

You need to look at the numbers,

1!,2!,3!,....,17!

18 has prime factorization 2*3*3

From that list find all are even, next see which are divisble by 9.

All the numbers from 6! and on.

That leaves you with,

1!,2!,3!,4!,5!

Find the remainder of each one add them and find remainder of that.