557049982680 has 1024 divisors, whose sum is σ = 2109796761600. Its totient is φ = 131681894400.

The previous prime is 557049982607. The next prime is 557049982691. The reversal of 557049982680 is 86289940755.

557049982680 is a `hidden beast` number, since 5 + 5 + 7 + 0 + 499 + 82 + 68 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 1982384140 + ... + 1982384420.

It is an arithmetic number, because the mean of its divisors is an integer number (2060348400).

Almost surely, 2^557049982680 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 557049982680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054898380800).

557049982680 is an abundant number, since it is smaller than the sum of its proper divisors (1552746778920).

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

557049982680 is a wasteful number, since it uses less digits than its factorization.

557049982680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 557049982680 in words is "five hundred fifty-seven billion, forty-nine million, nine hundred eighty-two thousand, six hundred eighty".