56876774400 has 792 divisors, whose sum is σ = 217309257984. Its totient is φ = 14730854400.

The previous prime is 56876774399. The next prime is 56876774443. The reversal of 56876774400 is 447767865.

56876774400 is a `hidden beast` number, since 5 + 68 + 76 + 77 + 440 + 0 = 666.

It is a super-2 number, since 2×56876774400² (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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 255052689 + ... + 255052911.

Almost surely, 2^56876774400 is an apocalyptic number.

56876774400 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 56876774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108654628992).

56876774400 is an abundant number, since it is smaller than the sum of its proper divisors (160432483584).

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

56876774400 is a wasteful number, since it uses less digits than its factorization.

56876774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 56876774400 in words is "fifty-six billion, eight hundred seventy-six million, seven hundred seventy-four thousand, four hundred".