557668030920 has 768 divisors, whose sum is σ = 2321549475840. Its totient is φ = 103493376000.

The previous prime is 557668030919. The next prime is 557668030961. The reversal of 557668030920 is 29030866755.

It is a happy number.

557668030920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115432905 + ... + 115437735.

It is an arithmetic number, because the mean of its divisors is an integer number (3022850880).

Almost surely, 2^557668030920 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 557668030920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160774737920).

557668030920 is an abundant number, since it is smaller than the sum of its proper divisors (1763881444920).

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

557668030920 is a wasteful number, since it uses less digits than its factorization.

557668030920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4938 (or 4903 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 557668030920 in words is "five hundred fifty-seven billion, six hundred sixty-eight million, thirty thousand, nine hundred twenty".