557691492960 has 2304 divisors, whose sum is σ = 2536095744000. Its totient is φ = 115221657600.

The previous prime is 557691492959. The next prime is 557691493003. The reversal of 557691492960 is 69294196755.

557691492960 is a `hidden beast` number, since 5 + 57 + 6 + 9 + 1 + 492 + 96 + 0 = 666.

It is a super-2 number, since 2×557691492960² (a number of 24 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 383 ways as a sum of consecutive naturals, for example, 7854809725 + ... + 7854809795.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736000).

Almost surely, 2^557691492960 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 557691492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268047872000).

557691492960 is an abundant number, since it is smaller than the sum of its proper divisors (1978404251040).

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

557691492960 is a wasteful number, since it uses less digits than its factorization.

557691492960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 557691492960 in words is "five hundred fifty-seven billion, six hundred ninety-one million, four hundred ninety-two thousand, nine hundred sixty".