56631818880 has 576 divisors, whose sum is σ = 242036795520. Its totient is φ = 11947253760.

The previous prime is 56631818879. The next prime is 56631818897. The reversal of 56631818880 is 8881813665.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6809925 + ... + 6818235.

It is an arithmetic number, because the mean of its divisors is an integer number (420202770).

Almost surely, 2^56631818880 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 56631818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121018397760).

56631818880 is an abundant number, since it is smaller than the sum of its proper divisors (185404976640).

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

56631818880 is a wasteful number, since it uses less digits than its factorization.

56631818880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8369 (or 8341 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 56631818880 in words is "fifty-six billion, six hundred thirty-one million, eight hundred eighteen thousand, eight hundred eighty".