557106398943360 has 256 divisors, whose sum is σ = 2044272601002240. Its totient is φ = 126409126182912.

The previous prime is 557106398943307. The next prime is 557106398943467. The reversal of 557106398943360 is 63349893601755.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149441089 + ... + 153123648.

It is an arithmetic number, because the mean of its divisors is an integer number (7985439847665).

Almost surely, 2^{557106398943360} is an apocalyptic number.

It is an amenable number.

557106398943360 is an abundant number, since it is smaller than the sum of its proper divisors (1487166202058880).

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

557106398943360 is a wasteful number, since it uses less digits than its factorization.

557106398943360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302564903 (or 302564891 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 69.

The spelling of 557106398943360 in words is "five hundred fifty-seven trillion, one hundred six billion, three hundred ninety-eight million, nine hundred forty-three thousand, three hundred sixty".