557312665728 has 768 divisors, whose sum is σ = 1975695805440. Its totient is φ = 137487974400.

The previous prime is 557312665579. The next prime is 557312665729. The reversal of 557312665728 is 827566213755.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (557312665729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 927308628 + ... + 927309228.

It is an arithmetic number, because the mean of its divisors is an integer number (2572520580).

Almost surely, 2^557312665728 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 557312665728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987847902720).

557312665728 is an abundant number, since it is smaller than the sum of its proper divisors (1418383139712).

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

557312665728 is a wasteful number, since it uses less digits than its factorization.

557312665728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 866 counting only the distinct ones).

The product of its digits is 21168000, while the sum is 57.

The spelling of 557312665728 in words is "five hundred fifty-seven billion, three hundred twelve million, six hundred sixty-five thousand, seven hundred twenty-eight".