56580788430 has 192 divisors, whose sum is σ = 156736944000. Its totient is φ = 14135869440.

The previous prime is 56580788399. The next prime is 56580788443. The reversal of 56580788430 is 3488708565.

56580788430 is a `hidden beast` number, since 5 + 65 + 80 + 78 + 8 + 430 = 666.

56580788430 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21293662 + ... + 21296318.

It is an arithmetic number, because the mean of its divisors is an integer number (816338250).

Almost surely, 2^56580788430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56580788430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78368472000).

56580788430 is an abundant number, since it is smaller than the sum of its proper divisors (100156155570).

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

56580788430 is a wasteful number, since it uses less digits than its factorization.

56580788430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 56580788430 in words is "fifty-six billion, five hundred eighty million, seven hundred eighty-eight thousand, four hundred thirty".