557567953920 has 704 divisors, whose sum is σ = 2066693122560. Its totient is φ = 142419492864.

The previous prime is 557567953889. The next prime is 557567953937. The reversal of 557567953920 is 29359765755.

It is a happy number.

557567953920 is a `hidden beast` number, since 5 + 5 + 7 + 5 + 6 + 79 + 539 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 342696147 + ... + 342697773.

It is an arithmetic number, because the mean of its divisors is an integer number (2935643640).

Almost surely, 2^557567953920 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 557567953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033346561280).

557567953920 is an abundant number, since it is smaller than the sum of its proper divisors (1509125168640).

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

557567953920 is a wasteful number, since it uses less digits than its factorization.

557567953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 89302500, while the sum is 63.

The spelling of 557567953920 in words is "five hundred fifty-seven billion, five hundred sixty-seven million, nine hundred fifty-three thousand, nine hundred twenty".