557955216 has 480 divisors, whose sum is σ = 2123197440. Its totient is φ = 137728512.

The previous prime is 557955199. The next prime is 557955239. The reversal of 557955216 is 612559755.

557955216 is a `hidden beast` number, since 5 + 579 + 55 + 21 + 6 = 666.

It is a super-2 number, since 2×557955216² = 622628046123213312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6722311 + ... + 6722393.

It is an arithmetic number, because the mean of its divisors is an integer number (4423328).

Almost surely, 2^557955216 is an apocalyptic number.

557955216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557955216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061598720).

557955216 is an abundant number, since it is smaller than the sum of its proper divisors (1565242224).

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

557955216 is a wasteful number, since it uses less digits than its factorization.

557955216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 127 counting only the distinct ones).

The product of its digits is 472500, while the sum is 45.

The square root of 557955216 is about 23621.0756740670. The cubic root of 557955216 is about 823.2526056702.

The spelling of 557955216 in words is "five hundred fifty-seven million, nine hundred fifty-five thousand, two hundred sixteen".