56442532032 has 336 divisors, whose sum is σ = 172602144000. Its totient is φ = 17603647488.

The previous prime is 56442532021. The next prime is 56442532033. The reversal of 56442532032 is 23023524465.

56442532032 is a `hidden beast` number, since 5 + 6 + 442 + 5 + 3 + 203 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56442532033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128570469 + ... + 128570907.

Almost surely, 2^56442532032 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 56442532032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86301072000).

56442532032 is an abundant number, since it is smaller than the sum of its proper divisors (116159611968).

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

56442532032 is a wasteful number, since it uses less digits than its factorization.

56442532032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 56442532032 in words is "fifty-six billion, four hundred forty-two million, five hundred thirty-two thousand, thirty-two".