165907272960 has 1296 divisors, whose sum is σ = 694623541248. Its totient is φ = 36229939200.

The previous prime is 165907272953. The next prime is 165907272989. The reversal of 165907272960 is 69272709561.

165907272960 is a `hidden beast` number, since 1 + 6 + 590 + 7 + 27 + 29 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 165907272897 and 165907272906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1306356417 + ... + 1306356543.

Almost surely, 2^165907272960 is an apocalyptic number.

165907272960 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 165907272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347311770624).

165907272960 is an abundant number, since it is smaller than the sum of its proper divisors (528716268288).

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

165907272960 is a wasteful number, since it uses less digits than its factorization.

165907272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 165907272960 in words is "one hundred sixty-five billion, nine hundred seven million, two hundred seventy-two thousand, nine hundred sixty".