56647765800 has 192 divisors, whose sum is σ = 196658841600. Its totient is φ = 14986944000.

The previous prime is 56647765793. The next prime is 56647765819. The reversal of 56647765800 is 856774665.

56647765800 is a `hidden beast` number, since 56 + 6 + 4 + 7 + 7 + 6 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644500 + ... + 727100.

It is an arithmetic number, because the mean of its divisors is an integer number (1024264800).

Almost surely, 2^56647765800 is an apocalyptic number.

56647765800 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 56647765800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98329420800).

56647765800 is an abundant number, since it is smaller than the sum of its proper divisors (140011075800).

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

56647765800 is a wasteful number, since it uses less digits than its factorization.

56647765800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82753 (or 82738 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 56647765800 in words is "fifty-six billion, six hundred forty-seven million, seven hundred sixty-five thousand, eight hundred".