56838075920 has 240 divisors, whose sum is σ = 145216955520. Its totient is φ = 20630108160.

The previous prime is 56838075913. The next prime is 56838075947. The reversal of 56838075920 is 2957083865.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243940124 + ... + 243940356.

It is an arithmetic number, because the mean of its divisors is an integer number (605070648).

Almost surely, 2^56838075920 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 56838075920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72608477760).

56838075920 is an abundant number, since it is smaller than the sum of its proper divisors (88378879600).

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

56838075920 is a wasteful number, since it uses less digits than its factorization.

56838075920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 56838075920 in words is "fifty-six billion, eight hundred thirty-eight million, seventy-five thousand, nine hundred twenty".