56706608649600 has 768 divisors, whose sum is σ = 255422110272000. Its totient is φ = 11964469616640.

The previous prime is 56706608649599. The next prime is 56706608649619. The reversal of 56706608649600 is 694680660765.

56706608649600 is a `hidden beast` number, since 5 + 6 + 7 + 0 + 6 + 60 + 86 + 496 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4256211 + ... + 11468589.

It is an arithmetic number, because the mean of its divisors is an integer number (332580872750).

Almost surely, 2^{56706608649600} is an apocalyptic number.

56706608649600 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 56706608649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127711055136000).

56706608649600 is an abundant number, since it is smaller than the sum of its proper divisors (198715501622400).

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

56706608649600 is a wasteful number, since it uses less digits than its factorization.

56706608649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7212432 (or 7212409 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 56706608649600 in words is "fifty-six trillion, seven hundred six billion, six hundred eight million, six hundred forty-nine thousand, six hundred".