5957670096000 has 1536 divisors, whose sum is σ = 26872121952000. Its totient is φ = 1289994854400.

The previous prime is 5957670095929. The next prime is 5957670096047. The reversal of 5957670096000 is 6900767595.

5957670096000 is a `hidden beast` number, since 5 + 9 + 576 + 7 + 0 + 0 + 9 + 60 + 0 + 0 = 666.

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

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, 402184594 + ... + 402199406.

Almost surely, 2^{5957670096000} is an apocalyptic number.

5957670096000 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 5957670096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13436060976000).

5957670096000 is an abundant number, since it is smaller than the sum of its proper divisors (20914451856000).

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

5957670096000 is a wasteful number, since it uses less digits than its factorization.

5957670096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14884 (or 14849 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 5957670096000 in words is "five trillion, nine hundred fifty-seven billion, six hundred seventy million, ninety-six thousand".