165109589948160 has 3456 divisors, whose sum is σ = 749623142661120. Its totient is φ = 34175582208000.

The previous prime is 165109589948141. The next prime is 165109589948257. The reversal of 165109589948160 is 61849985901561.

165109589948160 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 0 + 9 + 5 + 89 + 9 + 481 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×165109589948160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 44612154310 + ... + 44612158010.

It is an arithmetic number, because the mean of its divisors is an integer number (216904844520).

Almost surely, 2^{165109589948160} is an apocalyptic number.

165109589948160 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 165109589948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374811571330560).

165109589948160 is an abundant number, since it is smaller than the sum of its proper divisors (584513552712960).

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

165109589948160 is a wasteful number, since it uses less digits than its factorization.

165109589948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 72.

The spelling of 165109589948160 in words is "one hundred sixty-five trillion, one hundred nine billion, five hundred eighty-nine million, nine hundred forty-eight thousand, one hundred sixty".