557380158720 has 2304 divisors, whose sum is σ = 2509155532800. Its totient is φ = 104044953600.

The previous prime is 557380158719. The next prime is 557380158743. The reversal of 557380158720 is 27851083755.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7635344604 + ... + 7635344676.

It is an arithmetic number, because the mean of its divisors is an integer number (1089043200).

Almost surely, 2^557380158720 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 557380158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254577766400).

557380158720 is an abundant number, since it is smaller than the sum of its proper divisors (1951775374080).

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

557380158720 is a wasteful number, since it uses less digits than its factorization.

557380158720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 51.

The spelling of 557380158720 in words is "five hundred fifty-seven billion, three hundred eighty million, one hundred fifty-eight thousand, seven hundred twenty".