56673101160 has 192 divisors, whose sum is σ = 203194489680. Its totient is φ = 13610004480.

The previous prime is 56673101099. The next prime is 56673101179. The reversal of 56673101160 is 6110137665.

56673101160 is a `hidden beast` number, since 566 + 7 + 31 + 0 + 1 + 1 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10407672324 + 46265428836 = 102018^2 + 215094^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 44202 + ... + 339558.

Almost surely, 2^56673101160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56673101160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101597244840).

56673101160 is an abundant number, since it is smaller than the sum of its proper divisors (146521388520).

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

56673101160 is a wasteful number, since it uses less digits than its factorization.

56673101160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295428 (or 295421 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 56673101160 in words is "fifty-six billion, six hundred seventy-three million, one hundred one thousand, one hundred sixty".