557973492480 has 432 divisors, whose sum is σ = 2035143102720. Its totient is φ = 140753313792.

The previous prime is 557973492473. The next prime is 557973492497. The reversal of 557973492480 is 84294379755.

557973492480 is a `hidden beast` number, since 5 + 5 + 79 + 73 + 492 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×557973492480² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193269597 + ... + 193272483.

Almost surely, 2^557973492480 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 557973492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017571551360).

557973492480 is an abundant number, since it is smaller than the sum of its proper divisors (1477169610240).

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

557973492480 is a wasteful number, since it uses less digits than its factorization.

557973492480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816 (or 3799 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 557973492480 in words is "five hundred fifty-seven billion, nine hundred seventy-three million, four hundred ninety-two thousand, four hundred eighty".