56968876800 has 1728 divisors, whose sum is σ = 252928811520. Its totient is φ = 12386304000.

The previous prime is 56968876777. The next prime is 56968876819. The reversal of 56968876800 is 867886965.

56968876800 is a `hidden beast` number, since 569 + 6 + 8 + 8 + 7 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×56968876800³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1324857579 + ... + 1324857621.

It is an arithmetic number, because the mean of its divisors is an integer number (146370840).

Almost surely, 2^56968876800 is an apocalyptic number.

56968876800 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 56968876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126464405760).

56968876800 is an abundant number, since it is smaller than the sum of its proper divisors (195959934720).

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

56968876800 is a wasteful number, since it uses less digits than its factorization.

56968876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 56968876800 in words is "fifty-six billion, nine hundred sixty-eight million, eight hundred seventy-six thousand, eight hundred".