56688336000 has 1280 divisors, whose sum is σ = 232890577920. Its totient is φ = 13602816000.

The previous prime is 56688335971. The next prime is 56688336007. The reversal of 56688336000 is 63388665.

56688336000 is a `hidden beast` number, since 5 + 6 + 6 + 8 + 8 + 33 + 600 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (56688336007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 682991959 + ... + 682992041.

It is an arithmetic number, because the mean of its divisors is an integer number (181945764).

Almost surely, 2^56688336000 is an apocalyptic number.

56688336000 is a gapful number since it is divisible by the number (50) 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 56688336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116445288960).

56688336000 is an abundant number, since it is smaller than the sum of its proper divisors (176202241920).

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

56688336000 is a wasteful number, since it uses less digits than its factorization.

56688336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 56688336000 in words is "fifty-six billion, six hundred eighty-eight million, three hundred thirty-six thousand".