557150880 has 192 divisors, whose sum is σ = 2062101888. Its totient is φ = 124661760.

The previous prime is 557150861. The next prime is 557150899. The reversal of 557150880 is 88051755.

It is an interprime number because it is at equal distance from previous prime (557150861) and next prime (557150899).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64582 + ... + 72698.

It is an arithmetic number, because the mean of its divisors is an integer number (10740114).

Almost surely, 2^557150880 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 557150880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031050944).

557150880 is an abundant number, since it is smaller than the sum of its proper divisors (1504951008).

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

557150880 is a wasteful number, since it uses less digits than its factorization.

557150880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8159 (or 8151 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 39.

The square root of 557150880 is about 23604.0437213627. The cubic root of 557150880 is about 822.8568211253.

The spelling of 557150880 in words is "five hundred fifty-seven million, one hundred fifty thousand, eight hundred eighty".