56127658800 has 120 divisors (see below), whose sum is σ = 180286921216. Its totient is φ = 14926475520.

The previous prime is 56127658771. The next prime is 56127658823. The reversal of 56127658800 is 885672165.

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 56127658800.

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, 376677 + ... + 504123.

Almost surely, 2^56127658800 is an apocalyptic number.

56127658800 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 56127658800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90143460608).

56127658800 is an abundant number, since it is smaller than the sum of its proper divisors (124159262416).

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

56127658800 is a wasteful number, since it uses less digits than its factorization.

56127658800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127835 (or 127824 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 56127658800 in words is "fifty-six billion, one hundred twenty-seven million, six hundred fifty-eight thousand, eight hundred".