5957409774960 has 320 divisors, whose sum is σ = 23580967388160. Its totient is φ = 1354169871360.

The previous prime is 5957409774937. The next prime is 5957409774961. The reversal of 5957409774960 is 694779047595.

5957409774960 is a `hidden beast` number, since 5 + 9 + 5 + 7 + 40 + 97 + 7 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5957409774961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1648299 + ... + 3825141.

It is an arithmetic number, because the mean of its divisors is an integer number (73690523088).

Almost surely, 2^{5957409774960} 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 5957409774960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11790483694080).

5957409774960 is an abundant number, since it is smaller than the sum of its proper divisors (17623557613200).

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

5957409774960 is a wasteful number, since it uses less digits than its factorization.

5957409774960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177053 (or 2177041 counting only the distinct ones).

The product of its (nonzero) digits is 600112800, while the sum is 72.

The spelling of 5957409774960 in words is "five trillion, nine hundred fifty-seven billion, four hundred nine million, seven hundred seventy-four thousand, nine hundred sixty".