56325483824400 has 360 divisors, whose sum is σ = 228837164984064. Its totient is φ = 12560386406400.

The previous prime is 56325483824297. The next prime is 56325483824431. The reversal of 56325483824400 is 442838452365.

56325483824400 is a `hidden beast` number, since 5 + 6 + 3 + 2 + 548 + 38 + 24 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 26224584 + ... + 28290983.

Almost surely, 2^{56325483824400} is an apocalyptic number.

56325483824400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56325483824400 is an abundant number, since it is smaller than the sum of its proper divisors (172511681159664).

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

56325483824400 is a wasteful number, since it uses less digits than its factorization.

56325483824400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54515639 (or 54515625 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 56325483824400 in words is "fifty-six trillion, three hundred twenty-five billion, four hundred eighty-three million, eight hundred twenty-four thousand, four hundred".