557324288640 has 512 divisors, whose sum is σ = 2268961113600. Its totient is φ = 126647304192.

The previous prime is 557324288621. The next prime is 557324288659. The reversal of 557324288640 is 46882423755.

557324288640 is a `hidden beast` number, since 5 + 573 + 2 + 4 + 2 + 8 + 8 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (557324288621) and next prime (557324288659).

It is a super-2 number, since 2×557324288640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20912764 + ... + 20939396.

It is an arithmetic number, because the mean of its divisors is an integer number (4431564675).

Almost surely, 2^557324288640 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 557324288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134480556800).

557324288640 is an abundant number, since it is smaller than the sum of its proper divisors (1711636824960).

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

557324288640 is a wasteful number, since it uses less digits than its factorization.

557324288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26841 (or 26823 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 557324288640 in words is "five hundred fifty-seven billion, three hundred twenty-four million, two hundred eighty-eight thousand, six hundred forty".