557010765696 has 512 divisors, whose sum is σ = 1909317795840. Its totient is φ = 139631616000.

The previous prime is 557010765679. The next prime is 557010765697. The reversal of 557010765696 is 696567010755.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557010765697) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 510550111 + ... + 510551201.

It is an arithmetic number, because the mean of its divisors is an integer number (3729136320).

Almost surely, 2^557010765696 is an apocalyptic number.

557010765696 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 557010765696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954658897920).

557010765696 is an abundant number, since it is smaller than the sum of its proper divisors (1352307030144).

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

557010765696 is a wasteful number, since it uses less digits than its factorization.

557010765696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 57.

The spelling of 557010765696 in words is "five hundred fifty-seven billion, ten million, seven hundred sixty-five thousand, six hundred ninety-six".