557324393472 has 528 divisors, whose sum is σ = 2012047065600. Its totient is φ = 144349102080.

The previous prime is 557324393459. The next prime is 557324393497. The reversal of 557324393472 is 274393423755.

557324393472 is a `hidden beast` number, since 5 + 57 + 3 + 243 + 9 + 347 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×557324393472² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 311527554 + ... + 311529342.

It is an arithmetic number, because the mean of its divisors is an integer number (3810695200).

Almost surely, 2^557324393472 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 557324393472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006023532800).

557324393472 is an abundant number, since it is smaller than the sum of its proper divisors (1454722672128).

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

557324393472 is a wasteful number, since it uses less digits than its factorization.

557324393472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2251 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 54.

The spelling of 557324393472 in words is "five hundred fifty-seven billion, three hundred twenty-four million, three hundred ninety-three thousand, four hundred seventy-two".