56776620600 has 384 divisors, whose sum is σ = 226342656000. Its totient is φ = 12812567040.

The previous prime is 56776620503. The next prime is 56776620613. The reversal of 56776620600 is 602667765.

56776620600 is a `hidden beast` number, since 567 + 7 + 6 + 6 + 20 + 60 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2976694 + ... + 2995706.

It is an arithmetic number, because the mean of its divisors is an integer number (589434000).

Almost surely, 2^56776620600 is an apocalyptic number.

56776620600 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 56776620600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113171328000).

56776620600 is an abundant number, since it is smaller than the sum of its proper divisors (169566035400).

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

56776620600 is a wasteful number, since it uses less digits than its factorization.

56776620600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19124 (or 19109 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 56776620600 in words is "fifty-six billion, seven hundred seventy-six million, six hundred twenty thousand, six hundred".