557289628416 has 576 divisors, whose sum is σ = 1797733647360. Its totient is φ = 169630433280.

The previous prime is 557289628351. The next prime is 557289628421. The reversal of 557289628416 is 614826982755.

557289628416 is a `hidden beast` number, since 55 + 72 + 89 + 6 + 28 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 558966030 + ... + 558967026.

It is an arithmetic number, because the mean of its divisors is an integer number (3121065360).

Almost surely, 2^557289628416 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 557289628416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898866823680).

557289628416 is an abundant number, since it is smaller than the sum of its proper divisors (1240444018944).

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

557289628416 is a wasteful number, since it uses less digits than its factorization.

557289628416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1157 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 557289628416 in words is "five hundred fifty-seven billion, two hundred eighty-nine million, six hundred twenty-eight thousand, four hundred sixteen".