56917306414080 has 1584 divisors, whose sum is σ = 234475728814080. Its totient is φ = 12725738274816.

The previous prime is 56917306414063. The next prime is 56917306414091. The reversal of 56917306414080 is 8041460371965.

56917306414080 is a `hidden beast` number, since 5 + 6 + 9 + 173 + 0 + 64 + 1 + 408 + 0 = 666.

It is a congruent number.

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, 20933174961 + ... + 20933177679.

Almost surely, 2^{56917306414080} 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 56917306414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117237864407040).

56917306414080 is an abundant number, since it is smaller than the sum of its proper divisors (177558422400000).

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

56917306414080 is a wasteful number, since it uses less digits than its factorization.

56917306414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 56917306414080 in words is "fifty-six trillion, nine hundred seventeen billion, three hundred six million, four hundred fourteen thousand, eighty".