165035072320 has 112 divisors (see below), whose sum is σ = 405119342160. Its totient is φ = 63989858304.

The previous prime is 165035072281. The next prime is 165035072353. The reversal of 165035072320 is 23270530561.

165035072320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4913449216 + 160121623104 = 70096^2 + 400152^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3159052 + ... + 3210868.

Almost surely, 2^165035072320 is an apocalyptic number.

165035072320 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 165035072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202559671080).

165035072320 is an abundant number, since it is smaller than the sum of its proper divisors (240084269840).

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

165035072320 is a wasteful number, since it uses less digits than its factorization.

165035072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52140 (or 52130 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The spelling of 165035072320 in words is "one hundred sixty-five billion, thirty-five million, seventy-two thousand, three hundred twenty".