56608606080 has 640 divisors, whose sum is σ = 229220560800. Its totient is φ = 13198049280.

The previous prime is 56608606079. The next prime is 56608606091. The reversal of 56608606080 is 8060680665.

56608606080 is a `hidden beast` number, since 566 + 0 + 8 + 6 + 0 + 6 + 0 + 80 = 666.

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

It is a super-2 number, since 2×56608606080² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12802270 + ... + 12806690.

Almost surely, 2^56608606080 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 56608606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114610280400).

56608606080 is an abundant number, since it is smaller than the sum of its proper divisors (172611954720).

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

56608606080 is a wasteful number, since it uses less digits than its factorization.

56608606080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 56608606080 in words is "fifty-six billion, six hundred eight million, six hundred six thousand, eighty".