56631166400 has 84 divisors (see below), whose sum is σ = 139845074640. Its totient is φ = 22571673600.

The previous prime is 56631166399. The next prime is 56631166409. The reversal of 56631166400 is 466113665.

56631166400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56631166409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 386621 + ... + 512579.

Almost surely, 2^56631166400 is an apocalyptic number.

56631166400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56631166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69922537320).

56631166400 is an abundant number, since it is smaller than the sum of its proper divisors (83213908240).

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

56631166400 is a wasteful number, since it uses less digits than its factorization.

56631166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126262 (or 126247 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 56631166400 in words is "fifty-six billion, six hundred thirty-one million, one hundred sixty-six thousand, four hundred".