557166720 has 512 divisors, whose sum is σ = 2143272960. Its totient is φ = 121651200.

The previous prime is 557166691. The next prime is 557166769. The reversal of 557166720 is 27661755.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15058542 + ... + 15058578.

It is an arithmetic number, because the mean of its divisors is an integer number (4186080).

Almost surely, 2^557166720 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 557166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071636480).

557166720 is an abundant number, since it is smaller than the sum of its proper divisors (1586106240).

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

557166720 is a wasteful number, since it uses less digits than its factorization.

557166720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 557166720 is about 23604.3792547061. The cubic root of 557166720 is about 822.8646190899.

The spelling of 557166720 in words is "five hundred fifty-seven million, one hundred sixty-six thousand, seven hundred twenty".