557097090635280 has 640 divisors, whose sum is σ = 1962372000153600. Its totient is φ = 129606629548032.

The previous prime is 557097090635207. The next prime is 557097090635297. The reversal of 557097090635280 is 82536090790755.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82913687761 + ... + 82913694479.

It is an arithmetic number, because the mean of its divisors is an integer number (3066206250240).

Almost surely, 2^{557097090635280} 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 557097090635280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981186000076800).

557097090635280 is an abundant number, since it is smaller than the sum of its proper divisors (1405274909518320).

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

557097090635280 is a wasteful number, since it uses less digits than its factorization.

557097090635280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9871 (or 9865 counting only the distinct ones).

The product of its (nonzero) digits is 142884000, while the sum is 66.

The spelling of 557097090635280 in words is "five hundred fifty-seven trillion, ninety-seven billion, ninety million, six hundred thirty-five thousand, two hundred eighty".