56816877171600 has 720 divisors, whose sum is σ = 255443391548800. Its totient is φ = 11356801966080.

The previous prime is 56816877171569. The next prime is 56816877171611. The reversal of 56816877171600 is 617177861865.

56816877171600 is a `hidden beast` number, since 5 + 6 + 8 + 1 + 6 + 8 + 7 + 7 + 17 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1660356 + ... + 10788444.

Almost surely, 2^{56816877171600} is an apocalyptic number.

56816877171600 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 56816877171600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127721695774400).

56816877171600 is an abundant number, since it is smaller than the sum of its proper divisors (198626514377200).

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

56816877171600 is a wasteful number, since it uses less digits than its factorization.

56816877171600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9128152 (or 9128138 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 63.

The spelling of 56816877171600 in words is "fifty-six trillion, eight hundred sixteen billion, eight hundred seventy-seven million, one hundred seventy-one thousand, six hundred".