557684495548488 has 864 divisors, whose sum is σ = 1963830741163200. Its totient is φ = 139944867955200.

The previous prime is 557684495548469. The next prime is 557684495548501. The reversal of 557684495548488 is 884845594486755.

557684495548488 is a `hidden beast` number, since 5 + 5 + 7 + 6 + 8 + 4 + 4 + 9 + 554 + 8 + 48 + 8 = 666.

It is a super-2 number, since 2×557684495548488² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 557684495548398 and 557684495548407.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 36276873570 + ... + 36276888942.

Almost surely, 2^{557684495548488} 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 557684495548488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981915370581600).

557684495548488 is an abundant number, since it is smaller than the sum of its proper divisors (1406146245614712).

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

557684495548488 is a wasteful number, since it uses less digits than its factorization.

557684495548488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16095 (or 16046 counting only the distinct ones).

The product of its digits is 247726080000, while the sum is 90.

The spelling of 557684495548488 in words is "five hundred fifty-seven trillion, six hundred eighty-four billion, four hundred ninety-five million, five hundred forty-eight thousand, four hundred eighty-eight".