557777088 has 252 divisors, whose sum is σ = 1802337264. Its totient is φ = 164736000.

The previous prime is 557777081. The next prime is 557777093. The reversal of 557777088 is 880777755.

557777088 is a `hidden beast` number, since 557 + 7 + 7 + 7 + 0 + 88 = 666.

It is a super-2 number, since 2×557777088² = 622230559795519488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (557777081) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3693813 + ... + 3693963.

It is an arithmetic number, because the mean of its divisors is an integer number (7152132).

Almost surely, 2^557777088 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 557777088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901168632).

557777088 is an abundant number, since it is smaller than the sum of its proper divisors (1244560176).

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

557777088 is a wasteful number, since it uses less digits than its factorization.

557777088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3841600, while the sum is 54.

The square root of 557777088 is about 23617.3048420009. The cubic root of 557777088 is about 823.1649881553.

The spelling of 557777088 in words is "five hundred fifty-seven million, seven hundred seventy-seven thousand, eighty-eight".