56193166080 has 216 divisors, whose sum is σ = 195125636160. Its totient is φ = 14930657280.

The previous prime is 56193166031. The next prime is 56193166109. The reversal of 56193166080 is 8066139165.

56193166080 is a `hidden beast` number, since 5 + 6 + 1 + 9 + 31 + 6 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 3228441 + ... + 3245799.

Almost surely, 2^56193166080 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 56193166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97562818080).

56193166080 is an abundant number, since it is smaller than the sum of its proper divisors (138932470080).

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

56193166080 is a wasteful number, since it uses less digits than its factorization.

56193166080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17667 (or 17650 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 56193166080 in words is "fifty-six billion, one hundred ninety-three million, one hundred sixty-six thousand, eighty".