557365057920 has 768 divisors, whose sum is σ = 2134990690560. Its totient is φ = 132864000000.

The previous prime is 557365057889. The next prime is 557365057967. The reversal of 557365057920 is 29750563755.

557365057920 is a `hidden beast` number, since 5 + 5 + 7 + 3 + 65 + 0 + 579 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1606239187 + ... + 1606239533.

It is an arithmetic number, because the mean of its divisors is an integer number (2779935795).

Almost surely, 2^557365057920 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 557365057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067495345280).

557365057920 is an abundant number, since it is smaller than the sum of its proper divisors (1577625632640).

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

557365057920 is a wasteful number, since it uses less digits than its factorization.

557365057920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 9922500, while the sum is 54.

The spelling of 557365057920 in words is "five hundred fifty-seven billion, three hundred sixty-five million, fifty-seven thousand, nine hundred twenty".