5688096176800 has 72 divisors (see below), whose sum is σ = 13888846799100. Its totient is φ = 2274782638080.

The previous prime is 5688096176797. The next prime is 5688096176803. The reversal of 5688096176800 is 86716908865.

It is an interprime number because it is at equal distance from previous prime (5688096176797) and next prime (5688096176803).

It can be written as a sum of positive squares in 6 ways, for example, as 1453538874384 + 4234557302416 = 1205628^2 + 2057804^2 .

It is not an unprimeable number, because it can be changed into a prime (5688096176803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3297466 + ... + 4716934.

Almost surely, 2^{5688096176800} is an apocalyptic number.

5688096176800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5688096176800 is an abundant number, since it is smaller than the sum of its proper divisors (8200750622300).

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

5688096176800 is a wasteful number, since it uses less digits than its factorization.

5688096176800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424498 (or 1424485 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 64.

The spelling of 5688096176800 in words is "five trillion, six hundred eighty-eight billion, ninety-six million, one hundred seventy-six thousand, eight hundred".