56882919168 has 144 divisors (see below), whose sum is σ = 168330758400. Its totient is φ = 18947681280.

The previous prime is 56882919157. The next prime is 56882919259. The reversal of 56882919168 is 86191928865.

56882919168 is a `hidden beast` number, since 568 + 8 + 2 + 9 + 1 + 9 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17824453 + ... + 17827643.

It is an arithmetic number, because the mean of its divisors is an integer number (1168963600).

Almost surely, 2^56882919168 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 56882919168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84165379200).

56882919168 is an abundant number, since it is smaller than the sum of its proper divisors (111447839232).

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

56882919168 is a wasteful number, since it uses less digits than its factorization.

56882919168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5795 (or 5775 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 63.

The spelling of 56882919168 in words is "fifty-six billion, eight hundred eighty-two million, nine hundred nineteen thousand, one hundred sixty-eight".