56546106315600 has 120 divisors (see below), whose sum is σ = 197602938843552. Its totient is φ = 13708146982400.

The previous prime is 56546106315599. The next prime is 56546106315701. The reversal of 56546106315600 is 651360164565.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56546106315600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2141884767 + ... + 2141911166.

Almost surely, 2^{56546106315600} is an apocalyptic number.

56546106315600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56546106315600 is an abundant number, since it is smaller than the sum of its proper divisors (141056832527952).

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

56546106315600 is a wasteful number, since it uses less digits than its factorization.

56546106315600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4283795965 (or 4283795954 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 56546106315600 in words is "fifty-six trillion, five hundred forty-six billion, one hundred six million, three hundred fifteen thousand, six hundred".