56793684600 has 480 divisors, whose sum is σ = 201653760000. Its totient is φ = 14811413760.

The previous prime is 56793684599. The next prime is 56793684611. The reversal of 56793684600 is 648639765.

56793684600 is a `hidden beast` number, since 56 + 79 + 3 + 68 + 460 + 0 = 666.

It is a super-2 number, since 2×56793684600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 254680089 + ... + 254680311.

It is an arithmetic number, because the mean of its divisors is an integer number (420112000).

Almost surely, 2^56793684600 is an apocalyptic number.

56793684600 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 56793684600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100826880000).

56793684600 is an abundant number, since it is smaller than the sum of its proper divisors (144860075400).

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

56793684600 is a wasteful number, since it uses less digits than its factorization.

56793684600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 56793684600 in words is "fifty-six billion, seven hundred ninety-three million, six hundred eighty-four thousand, six hundred".