11656511556000 has 96 divisors (see below), whose sum is σ = 38186731896768. Its totient is φ = 3108403078400.

The previous prime is 11656511555977. The next prime is 11656511556061. The reversal of 11656511556000 is 65511565611.

11656511556000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11656511556000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485675982 + ... + 485699981.

It is an arithmetic number, because the mean of its divisors is an integer number (397778457258).

Almost surely, 2^{11656511556000} is an apocalyptic number.

11656511556000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11656511556000 is an abundant number, since it is smaller than the sum of its proper divisors (26530220340768).

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

11656511556000 is an equidigital number, since it uses as much as digits as its factorization.

11656511556000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971375991 (or 971375973 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 42.

The spelling of 11656511556000 in words is "eleven trillion, six hundred fifty-six billion, five hundred eleven million, five hundred fifty-six thousand".