557032826880 has 576 divisors, whose sum is σ = 2089340023680. Its totient is φ = 142069137408.

The previous prime is 557032826821. The next prime is 557032826887. The reversal of 557032826880 is 88628230755.

557032826880 is a `hidden beast` number, since 5 + 57 + 0 + 328 + 268 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (557032826887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57226494 + ... + 57236226.

It is an arithmetic number, because the mean of its divisors is an integer number (3627326430).

Almost surely, 2^557032826880 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 557032826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044670011840).

557032826880 is an abundant number, since it is smaller than the sum of its proper divisors (1532307196800).

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

557032826880 is an equidigital number, since it uses as much as digits as its factorization.

557032826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9798 (or 9766 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 557032826880 in words is "five hundred fifty-seven billion, thirty-two million, eight hundred twenty-six thousand, eight hundred eighty".