56870360064000 has 1792 divisors, whose sum is σ = 248099748249600. Its totient is φ = 12578291712000.

The previous prime is 56870360063999. The next prime is 56870360064047. The reversal of 56870360064000 is 46006307865.

It is a tau number, because it is divible by the number of its divisors (1792).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5999611261 + ... + 5999620739.

Almost surely, 2^{56870360064000} is an apocalyptic number.

56870360064000 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 56870360064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124049874124800).

56870360064000 is an abundant number, since it is smaller than the sum of its proper divisors (191229388185600).

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

56870360064000 is an equidigital number, since it uses as much as digits as its factorization.

56870360064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9567 (or 9527 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 56870360064000 in words is "fifty-six trillion, eight hundred seventy billion, three hundred sixty million, sixty-four thousand".