56993161680 has 560 divisors, whose sum is σ = 244543098240. Its totient is φ = 12023811072.

The previous prime is 56993161649. The next prime is 56993161699. The reversal of 56993161680 is 8616139965.

56993161680 is a `hidden beast` number, since 569 + 9 + 3 + 16 + 1 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5301751 + ... + 5312489.

It is an arithmetic number, because the mean of its divisors is an integer number (436684104).

Almost surely, 2^56993161680 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 56993161680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122271549120).

56993161680 is an abundant number, since it is smaller than the sum of its proper divisors (187549936560).

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

56993161680 is a wasteful number, since it uses less digits than its factorization.

56993161680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10790 (or 10769 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 56993161680 in words is "fifty-six billion, nine hundred ninety-three million, one hundred sixty-one thousand, six hundred eighty".