56813861894400 has 3888 divisors, whose sum is σ = 248520866979840. Its totient is φ = 12786580684800.

The previous prime is 56813861894341. The next prime is 56813861894411. The reversal of 56813861894400 is 449816831865.

56813861894400 is a `hidden beast` number, since 5 + 6 + 8 + 1 + 3 + 8 + 6 + 189 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

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 431 ways as a sum of consecutive naturals, for example, 154806163017 + ... + 154806163383.

Almost surely, 2^{56813861894400} is an apocalyptic number.

56813861894400 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 56813861894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124260433489920).

56813861894400 is an abundant number, since it is smaller than the sum of its proper divisors (191707005085440).

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

56813861894400 is a wasteful number, since it uses less digits than its factorization.

56813861894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 56813861894400 in words is "fifty-six trillion, eight hundred thirteen billion, eight hundred sixty-one million, eight hundred ninety-four thousand, four hundred".