56377357200 has 360 divisors, whose sum is σ = 203166163200. Its totient is φ = 14460042240.

The previous prime is 56377357199. The next prime is 56377357219. The reversal of 56377357200 is 275377365.

56377357200 is a `hidden beast` number, since 5 + 6 + 3 + 7 + 73 + 572 + 0 + 0 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32049921 + ... + 32051679.

Almost surely, 2^56377357200 is an apocalyptic number.

56377357200 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 56377357200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101583081600).

56377357200 is an abundant number, since it is smaller than the sum of its proper divisors (146788806000).

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

56377357200 is a wasteful number, since it uses less digits than its factorization.

56377357200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 45.

The spelling of 56377357200 in words is "fifty-six billion, three hundred seventy-seven million, three hundred fifty-seven thousand, two hundred".