56683684512 has 432 divisors, whose sum is σ = 208470592512. Its totient is φ = 14465848320.

The previous prime is 56683684487. The next prime is 56683684549. The reversal of 56683684512 is 21548638665.

56683684512 is a `hidden beast` number, since 5 + 6 + 68 + 3 + 68 + 4 + 512 = 666.

It is a super-3 number, since 3×56683684512³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5682153 + ... + 5692119.

It is an arithmetic number, because the mean of its divisors is an integer number (482570816).

Almost surely, 2^56683684512 is an apocalyptic number.

56683684512 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 56683684512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104235296256).

56683684512 is an abundant number, since it is smaller than the sum of its proper divisors (151786908000).

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

56683684512 is a wasteful number, since it uses less digits than its factorization.

56683684512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10041 (or 10023 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 56683684512 in words is "fifty-six billion, six hundred eighty-three million, six hundred eighty-four thousand, five hundred twelve".