5660876390400 has 3240 divisors, whose sum is σ = 26695432181600. Its totient is φ = 1144494489600.

The previous prime is 5660876390381. The next prime is 5660876390417. The reversal of 5660876390400 is 40936780665.

5660876390400 is a `hidden beast` number, since 566 + 0 + 8 + 7 + 6 + 39 + 0 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 152996659182 + ... + 152996659218.

Almost surely, 2^{5660876390400} is an apocalyptic number.

5660876390400 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 5660876390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13347716090800).

5660876390400 is an abundant number, since it is smaller than the sum of its proper divisors (21034555791200).

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

5660876390400 is a wasteful number, since it uses less digits than its factorization.

5660876390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 5660876390400 in words is "five trillion, six hundred sixty billion, eight hundred seventy-six million, three hundred ninety thousand, four hundred".