557973095680 has 288 divisors, whose sum is σ = 1794492419328. Its totient is φ = 160535347200.

The previous prime is 557973095677. The next prime is 557973095681. The reversal of 557973095680 is 86590379755.

It is a super-2 number, since 2×557973095680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557973095681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1063540 + ... + 1499020.

It is an arithmetic number, because the mean of its divisors is an integer number (6230876456).

Almost surely, 2^557973095680 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 557973095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897246209664).

557973095680 is an abundant number, since it is smaller than the sum of its proper divisors (1236519323648).

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

557973095680 is a wasteful number, since it uses less digits than its factorization.

557973095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435533 (or 435519 counting only the distinct ones).

The product of its (nonzero) digits is 71442000, while the sum is 64.

The spelling of 557973095680 in words is "five hundred fifty-seven billion, nine hundred seventy-three million, ninety-five thousand, six hundred eighty".