557603913888 has 216 divisors, whose sum is σ = 1845181054080. Its totient is φ = 159262951680.

The previous prime is 557603913871. The next prime is 557603913907. The reversal of 557603913888 is 888319306755.

557603913888 is a `hidden beast` number, since 5 + 5 + 7 + 603 + 9 + 13 + 8 + 8 + 8 = 666.

It is a super-2 number, since 2×557603913888² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68170983 + ... + 68179161.

It is an arithmetic number, because the mean of its divisors is an integer number (8542504880).

Almost surely, 2^557603913888 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 557603913888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922590527040).

557603913888 is an abundant number, since it is smaller than the sum of its proper divisors (1287577140192).

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

557603913888 is a wasteful number, since it uses less digits than its factorization.

557603913888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13040 (or 13022 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 557603913888 in words is "five hundred fifty-seven billion, six hundred three million, nine hundred thirteen thousand, eight hundred eighty-eight".