557353344960 has 896 divisors, whose sum is σ = 2170683187200. Its totient is φ = 134010961920.

The previous prime is 557353344953. The next prime is 557353344973. The reversal of 557353344960 is 69443353755.

557353344960 is a `hidden beast` number, since 5 + 5 + 7 + 3 + 533 + 4 + 49 + 60 = 666.

It is a super-2 number, since 2×557353344960² (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 a junction number, because it is equal to n+sod(n) for n = 557353344897 and 557353344906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 496306959 + ... + 496308081.

Almost surely, 2^557353344960 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 557353344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085341593600).

557353344960 is an abundant number, since it is smaller than the sum of its proper divisors (1613329842240).

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

557353344960 is a wasteful number, since it uses less digits than its factorization.

557353344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 54.

The spelling of 557353344960 in words is "five hundred fifty-seven billion, three hundred fifty-three million, three hundred forty-four thousand, nine hundred sixty".