11556117572000 has 96 divisors (see below), whose sum is σ = 28495886786640. Its totient is φ = 4605759052800.

The previous prime is 11556117571993. The next prime is 11556117572029. The reversal of 11556117572000 is 27571165511.

It can be written as a sum of positive squares in 8 ways, for example, as 452320812304 + 11103796759696 = 672548^2 + 3332236^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4106855 + ... + 6322854.

Almost surely, 2^{11556117572000} is an apocalyptic number.

11556117572000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11556117572000 is an abundant number, since it is smaller than the sum of its proper divisors (16939769214640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11556117572000 is a wasteful number, since it uses less digits than its factorization.

11556117572000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10430011 (or 10429993 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 41.

The spelling of 11556117572000 in words is "eleven trillion, five hundred fifty-six billion, one hundred seventeen million, five hundred seventy-two thousand".