557500317696 has 1080 divisors, whose sum is σ = 2051203714560. Its totient is φ = 144919756800.

The previous prime is 557500317679. The next prime is 557500317709. The reversal of 557500317696 is 696713005755.

557500317696 is a `hidden beast` number, since 5 + 575 + 0 + 0 + 3 + 1 + 7 + 69 + 6 = 666.

It is a super-2 number, since 2×557500317696² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4255727551 + ... + 4255727681.

Almost surely, 2^557500317696 is an apocalyptic number.

557500317696 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 557500317696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025601857280).

557500317696 is an abundant number, since it is smaller than the sum of its proper divisors (1493703396864).

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

557500317696 is a wasteful number, since it uses less digits than its factorization.

557500317696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 5953500, while the sum is 54.

The spelling of 557500317696 in words is "five hundred fifty-seven billion, five hundred million, three hundred seventeen thousand, six hundred ninety-six".