5757600990960 has 960 divisors, whose sum is σ = 24508035552000. Its totient is φ = 1203572514816.

The previous prime is 5757600990949. The next prime is 5757600991001. The reversal of 5757600990960 is 690990067575.

5757600990960 is a `hidden beast` number, since 57 + 576 + 0 + 0 + 9 + 9 + 0 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×5757600990960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 349934094 + ... + 349950546.

It is an arithmetic number, because the mean of its divisors is an integer number (25529203700).

Almost surely, 2^{5757600990960} 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 5757600990960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12254017776000).

5757600990960 is an abundant number, since it is smaller than the sum of its proper divisors (18750434561040).

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

5757600990960 is a wasteful number, since it uses less digits than its factorization.

5757600990960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16615 (or 16592 counting only the distinct ones).

The product of its (nonzero) digits is 32148900, while the sum is 63.

The spelling of 5757600990960 in words is "five trillion, seven hundred fifty-seven billion, six hundred million, nine hundred ninety thousand, nine hundred sixty".