56631522816 has 640 divisors, whose sum is σ = 203997657600. Its totient is φ = 15288238080.

The previous prime is 56631522809. The next prime is 56631522817. The reversal of 56631522816 is 61822513665.

56631522816 is a `hidden beast` number, since 5 + 6 + 631 + 5 + 2 + 2 + 8 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56631522817) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49116096 + ... + 49117248.

It is an arithmetic number, because the mean of its divisors is an integer number (318746340).

Almost surely, 2^56631522816 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 56631522816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101998828800).

56631522816 is an abundant number, since it is smaller than the sum of its proper divisors (147366134784).

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

56631522816 is a wasteful number, since it uses less digits than its factorization.

56631522816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1205 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 56631522816 in words is "fifty-six billion, six hundred thirty-one million, five hundred twenty-two thousand, eight hundred sixteen".