557975311992 has 512 divisors, whose sum is σ = 1908043776000. Its totient is φ = 147465584640.

The previous prime is 557975311973. The next prime is 557975311997. The reversal of 557975311992 is 299113579755.

557975311992 is a `hidden beast` number, since 5 + 5 + 7 + 9 + 7 + 531 + 1 + 9 + 92 = 666.

It is a super-2 number, since 2×557975311992² (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 not an unprimeable number, because it can be changed into a prime (557975311997) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 436941658 + ... + 436942934.

It is an arithmetic number, because the mean of its divisors is an integer number (3726648000).

Almost surely, 2^557975311992 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 557975311992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954021888000).

557975311992 is an abundant number, since it is smaller than the sum of its proper divisors (1350068464008).

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

557975311992 is a wasteful number, since it uses less digits than its factorization.

557975311992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1586 counting only the distinct ones).

The product of its digits is 26790750, while the sum is 63.

The spelling of 557975311992 in words is "five hundred fifty-seven billion, nine hundred seventy-five million, three hundred eleven thousand, nine hundred ninety-two".