56680305552 has 320 divisors, whose sum is σ = 177686127360. Its totient is φ = 17195728896.

The previous prime is 56680305541. The next prime is 56680305571. The reversal of 56680305552 is 25550308665.

56680305552 is a `hidden beast` number, since 5 + 6 + 68 + 0 + 30 + 5 + 552 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 56680305498 and 56680305507.

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, 220545808 + ... + 220546064.

It is an arithmetic number, because the mean of its divisors is an integer number (555269148).

Almost surely, 2^56680305552 is an apocalyptic number.

56680305552 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56680305552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88843063680).

56680305552 is an abundant number, since it is smaller than the sum of its proper divisors (121005821808).

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

56680305552 is a wasteful number, since it uses less digits than its factorization.

56680305552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 56680305552 in words is "fifty-six billion, six hundred eighty million, three hundred five thousand, five hundred fifty-two".