557164512 has 216 divisors, whose sum is σ = 1752411024. Its totient is φ = 167574528.

The previous prime is 557164499. The next prime is 557164513. The reversal of 557164512 is 215461755.

557164512 is a `hidden beast` number, since 5 + 5 + 7 + 1 + 645 + 1 + 2 = 666.

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

Its product of digits (42000) is a multiple of the sum of its prime divisors (280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557164513) 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, 2391148 + ... + 2391380.

It is an arithmetic number, because the mean of its divisors is an integer number (8113014).

Almost surely, 2^557164512 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 557164512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876205512).

557164512 is an abundant number, since it is smaller than the sum of its proper divisors (1195246512).

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

557164512 is a wasteful number, since it uses less digits than its factorization.

557164512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 280 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 557164512 is about 23604.3324836777. The cubic root of 557164512 is about 822.8635321098.

The spelling of 557164512 in words is "five hundred fifty-seven million, one hundred sixty-four thousand, five hundred twelve".