557128080 has 240 divisors, whose sum is σ = 2068260480. Its totient is φ = 133681152.

The previous prime is 557128031. The next prime is 557128111. The reversal of 557128080 is 80821755.

557128080 is a `hidden beast` number, since 5 + 571 + 2 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280531 + ... + 282509.

It is an arithmetic number, because the mean of its divisors is an integer number (8617752).

Almost surely, 2^557128080 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 557128080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034130240).

557128080 is an abundant number, since it is smaller than the sum of its proper divisors (1511132400).

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

557128080 is a wasteful number, since it uses less digits than its factorization.

557128080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 557128080 is about 23603.5607483278. The cubic root of 557128080 is about 822.8455965228.

The spelling of 557128080 in words is "five hundred fifty-seven million, one hundred twenty-eight thousand, eighty".