165417881160 has 256 divisors, whose sum is σ = 579272601600. Its totient is φ = 37009861632.

The previous prime is 165417881137. The next prime is 165417881171. The reversal of 165417881160 is 61188714561.

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, 7588597 + ... + 7610363.

It is an arithmetic number, because the mean of its divisors is an integer number (2262783600).

Almost surely, 2^165417881160 is an apocalyptic number.

165417881160 is a gapful number since it is divisible by the number (10) 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 165417881160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289636300800).

165417881160 is an abundant number, since it is smaller than the sum of its proper divisors (413854720440).

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

165417881160 is a wasteful number, since it uses less digits than its factorization.

165417881160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21980 (or 21976 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 48.

The spelling of 165417881160 in words is "one hundred sixty-five billion, four hundred seventeen million, eight hundred eighty-one thousand, one hundred sixty".