56540668032 has 256 divisors, whose sum is σ = 173737008000. Its totient is φ = 18080133120.

The previous prime is 56540668007. The next prime is 56540668073. The reversal of 56540668032 is 23086604565.

56540668032 is a `hidden beast` number, since 565 + 4 + 0 + 6 + 6 + 80 + 3 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16334782 + ... + 16338242.

Almost surely, 2^56540668032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56540668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86868504000).

56540668032 is an abundant number, since it is smaller than the sum of its proper divisors (117196339968).

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

56540668032 is a wasteful number, since it uses less digits than its factorization.

56540668032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 56540668032 in words is "fifty-six billion, five hundred forty million, six hundred sixty-eight thousand, thirty-two".