56791886400 has 840 divisors, whose sum is σ = 223801914600. Its totient is φ = 14076149760.

The previous prime is 56791886381. The next prime is 56791886461. The reversal of 56791886400 is 468819765.

56791886400 is a `hidden beast` number, since 56 + 7 + 9 + 188 + 6 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7230441024 + 49561445376 = 85032^2 + 222624^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 328276714 + ... + 328276886.

Almost surely, 2^56791886400 is an apocalyptic number.

56791886400 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 56791886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111900957300).

56791886400 is an abundant number, since it is smaller than the sum of its proper divisors (167010028200).

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

56791886400 is a wasteful number, since it uses less digits than its factorization.

56791886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 56791886400 in words is "fifty-six billion, seven hundred ninety-one million, eight hundred eighty-six thousand, four hundred".