557953598688 has 48 divisors (see below), whose sum is σ = 1464666915600. Its totient is φ = 185979616256.

The previous prime is 557953598687. The next prime is 557953598707. The reversal of 557953598688 is 886895359755.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×557953598688² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557953598687) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6422356 + ... + 6508652.

It is an arithmetic number, because the mean of its divisors is an integer number (30513894075).

Almost surely, 2^557953598688 is an apocalyptic number.

It is an amenable number.

557953598688 is an abundant number, since it is smaller than the sum of its proper divisors (906713316912).

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

557953598688 is a wasteful number, since it uses less digits than its factorization.

557953598688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153659 (or 153651 counting only the distinct ones).

The product of its digits is 3265920000, while the sum is 78.

The spelling of 557953598688 in words is "five hundred fifty-seven billion, nine hundred fifty-three million, five hundred ninety-eight thousand, six hundred eighty-eight".