56838565056 has 448 divisors, whose sum is σ = 196468715520. Its totient is φ = 14082232320.

The previous prime is 56838565009. The next prime is 56838565061. The reversal of 56838565056 is 65056583865.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 56838564987 and 56838565005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43487155 + ... + 43488461.

It is an arithmetic number, because the mean of its divisors is an integer number (438546240).

Almost surely, 2^56838565056 is an apocalyptic number.

56838565056 is a gapful number since it is divisible by the number (56) 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 56838565056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98234357760).

56838565056 is an abundant number, since it is smaller than the sum of its proper divisors (139630150464).

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

56838565056 is a wasteful number, since it uses less digits than its factorization.

56838565056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 57.

The spelling of 56838565056 in words is "fifty-six billion, eight hundred thirty-eight million, five hundred sixty-five thousand, fifty-six".