56012825344 has 144 divisors (see below), whose sum is σ = 132443841600. Its totient is φ = 23132454912.

The previous prime is 56012825299. The next prime is 56012825383. The reversal of 56012825344 is 44352821065.

It is a super-3 number, since 3×56012825344³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56012825297 and 56012825306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45575322 + ... + 45576550.

It is an arithmetic number, because the mean of its divisors is an integer number (919748900).

Almost surely, 2^56012825344 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 56012825344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66221920800).

56012825344 is an abundant number, since it is smaller than the sum of its proper divisors (76431016256).

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

56012825344 is a wasteful number, since it uses less digits than its factorization.

56012825344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 56012825344 in words is "fifty-six billion, twelve million, eight hundred twenty-five thousand, three hundred forty-four".