5717916610560 has 832 divisors, whose sum is σ = 25344049628160. Its totient is φ = 1188129669120.

The previous prime is 5717916610513. The next prime is 5717916610579. The reversal of 5717916610560 is 650166197175.

5717916610560 is a `hidden beast` number, since 5 + 7 + 1 + 7 + 9 + 1 + 66 + 10 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5717916610497 and 5717916610506.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 42510774 + ... + 42645066.

Almost surely, 2^{5717916610560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5717916610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12672024814080).

5717916610560 is an abundant number, since it is smaller than the sum of its proper divisors (19626133017600).

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

5717916610560 is a wasteful number, since it uses less digits than its factorization.

5717916610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134349 (or 134321 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 5717916610560 in words is "five trillion, seven hundred seventeen billion, nine hundred sixteen million, six hundred ten thousand, five hundred sixty".