56787297177600 has 1872 divisors, whose sum is σ = 230726840176000. Its totient is φ = 13681380556800.

The previous prime is 56787297177577. The next prime is 56787297177601. The reversal of 56787297177600 is 677179278765.

56787297177600 is a `hidden beast` number, since 5 + 6 + 7 + 8 + 7 + 2 + 9 + 7 + 1 + 7 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (56787297177601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66573618774 + ... + 66573619626.

Almost surely, 2^{56787297177600} is an apocalyptic number.

56787297177600 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 56787297177600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115363420088000).

56787297177600 is an abundant number, since it is smaller than the sum of its proper divisors (173939542998400).

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

56787297177600 is a wasteful number, since it uses less digits than its factorization.

56787297177600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 435637440, while the sum is 72.

The spelling of 56787297177600 in words is "fifty-six trillion, seven hundred eighty-seven billion, two hundred ninety-seven million, one hundred seventy-seven thousand, six hundred".