557720601152 has 112 divisors (see below), whose sum is σ = 1301077814400. Its totient is φ = 233852559360.

The previous prime is 557720601107. The next prime is 557720601187. The reversal of 557720601152 is 251106027755.

It is a happy number.

It is a super-2 number, since 2×557720601152² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14248424 + ... + 14287512.

It is an arithmetic number, because the mean of its divisors is an integer number (11616766200).

Almost surely, 2^557720601152 is an apocalyptic number.

557720601152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557720601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650538907200).

557720601152 is an abundant number, since it is smaller than the sum of its proper divisors (743357213248).

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

557720601152 is a wasteful number, since it uses less digits than its factorization.

557720601152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40684 (or 40674 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 41.

The spelling of 557720601152 in words is "five hundred fifty-seven billion, seven hundred twenty million, six hundred one thousand, one hundred fifty-two".