557248180560 has 320 divisors, whose sum is σ = 1811404062720. Its totient is φ = 141539512320.

The previous prime is 557248180507. The next prime is 557248180589. The reversal of 557248180560 is 65081842755.

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 63 ways as a sum of consecutive naturals, for example, 390502567 + ... + 390503993.

It is an arithmetic number, because the mean of its divisors is an integer number (5660637696).

Almost surely, 2^557248180560 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 557248180560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905702031360).

557248180560 is an abundant number, since it is smaller than the sum of its proper divisors (1254155882160).

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

557248180560 is a wasteful number, since it uses less digits than its factorization.

557248180560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 51.

The spelling of 557248180560 in words is "five hundred fifty-seven billion, two hundred forty-eight million, one hundred eighty thousand, five hundred sixty".