56377252800 has 672 divisors, whose sum is σ = 231986937600. Its totient is φ = 13192704000.

The previous prime is 56377252787. The next prime is 56377252859. The reversal of 56377252800 is 825277365.

56377252800 is a `hidden beast` number, since 5 + 637 + 7 + 2 + 5 + 2 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13778755 + ... + 13782845.

Almost surely, 2^56377252800 is an apocalyptic number.

56377252800 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 56377252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115993468800).

56377252800 is an abundant number, since it is smaller than the sum of its proper divisors (175609684800).

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

56377252800 is a wasteful number, since it uses less digits than its factorization.

56377252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4162 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 56377252800 in words is "fifty-six billion, three hundred seventy-seven million, two hundred fifty-two thousand, eight hundred".