56712532032 has 336 divisors, whose sum is σ = 190383730992. Its totient is φ = 15978332160.

The previous prime is 56712531989. The next prime is 56712532081. The reversal of 56712532032 is 23023521765.

56712532032 is a `hidden beast` number, since 56 + 71 + 2 + 532 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3418039296 + 53294492736 = 58464^2 + 230856^2 .

It is a super-2 number, since 2×56712532032² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4703932 + ... + 4715972.

It is an arithmetic number, because the mean of its divisors is an integer number (566618247).

Almost surely, 2^56712532032 is an apocalyptic number.

56712532032 is a gapful number since it is divisible by the number (52) 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 56712532032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95191865496).

56712532032 is an abundant number, since it is smaller than the sum of its proper divisors (133671198960).

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

56712532032 is a wasteful number, since it uses less digits than its factorization.

56712532032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12126 (or 12113 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 56712532032 in words is "fifty-six billion, seven hundred twelve million, five hundred thirty-two thousand, thirty-two".