56608366080 has 640 divisors, whose sum is σ = 214957670400. Its totient is φ = 12439388160.

The previous prime is 56608366063. The next prime is 56608366123. The reversal of 56608366080 is 8066380665.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×56608366080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296378785 + ... + 296378975.

It is an arithmetic number, because the mean of its divisors is an integer number (335871360).

Almost surely, 2^56608366080 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 56608366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107478835200).

56608366080 is an abundant number, since it is smaller than the sum of its proper divisors (158349304320).

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

56608366080 is a wasteful number, since it uses less digits than its factorization.

56608366080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 56608366080 in words is "fifty-six billion, six hundred eight million, three hundred sixty-six thousand, eighty".