165890895168 has 224 divisors, whose sum is σ = 465929081856. Its totient is φ = 51982774272.

The previous prime is 165890895127. The next prime is 165890895197. The reversal of 165890895168 is 861598098561.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 165890895099 and 165890895108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111860955 + ... + 111862437.

It is an arithmetic number, because the mean of its divisors is an integer number (2080040544).

Almost surely, 2^165890895168 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 165890895168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232964540928).

165890895168 is an abundant number, since it is smaller than the sum of its proper divisors (300038186688).

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

165890895168 is a wasteful number, since it uses less digits than its factorization.

165890895168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 66.

The spelling of 165890895168 in words is "one hundred sixty-five billion, eight hundred ninety million, eight hundred ninety-five thousand, one hundred sixty-eight".