557495936256 has 144 divisors (see below), whose sum is σ = 1696053510144. Its totient is φ = 159252928512.

The previous prime is 557495936237. The next prime is 557495936281. The reversal of 557495936256 is 652639594755.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47211505 + ... + 47223311.

It is an arithmetic number, because the mean of its divisors is an integer number (11778149376).

Almost surely, 2^557495936256 is an apocalyptic number.

557495936256 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 557495936256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848026755072).

557495936256 is an abundant number, since it is smaller than the sum of its proper divisors (1138557573888).

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

557495936256 is a wasteful number, since it uses less digits than its factorization.

557495936256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20616 (or 20602 counting only the distinct ones).

The product of its digits is 306180000, while the sum is 66.

The spelling of 557495936256 in words is "five hundred fifty-seven billion, four hundred ninety-five million, nine hundred thirty-six thousand, two hundred fifty-six".