56883363264 has 1120 divisors, whose sum is σ = 226400904576. Its totient is φ = 13695713280.

The previous prime is 56883363253. The next prime is 56883363269. The reversal of 56883363264 is 46236338865.

56883363264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (14929920) is a multiple of the sum of its prime divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 56883363264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56883363269) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 328805482 + ... + 328805654.

Almost surely, 2^56883363264 is an apocalyptic number.

56883363264 is a gapful number since it is divisible by the number (54) 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 56883363264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113200452288).

56883363264 is an abundant number, since it is smaller than the sum of its proper divisors (169517541312).

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

56883363264 is a wasteful number, since it uses less digits than its factorization.

56883363264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 256 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 56883363264 in words is "fifty-six billion, eight hundred eighty-three million, three hundred sixty-three thousand, two hundred sixty-four".