56022951600 has 1080 divisors, whose sum is σ = 257343806720. Its totient is φ = 11017036800.

The previous prime is 56022951587. The next prime is 56022951683. The reversal of 56022951600 is 615922065.

56022951600 is a `hidden beast` number, since 560 + 2 + 2 + 95 + 1 + 6 + 0 + 0 = 666.

It is a super-2 number, since 2×56022951600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 57934317 + ... + 57935283.

Almost surely, 2^56022951600 is an apocalyptic number.

56022951600 is a gapful number since it is divisible by the number (50) 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 56022951600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128671903360).

56022951600 is an abundant number, since it is smaller than the sum of its proper divisors (201320855120).

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

56022951600 is a wasteful number, since it uses less digits than its factorization.

56022951600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 56022951600 in words is "fifty-six billion, twenty-two million, nine hundred fifty-one thousand, six hundred".