165293336960 has 128 divisors (see below), whose sum is σ = 410591656800. Its totient is φ = 63554584576.

The previous prime is 165293336953. The next prime is 165293336983. The reversal of 165293336960 is 69633392561.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4193504 + ... + 4232736.

Almost surely, 2^165293336960 is an apocalyptic number.

165293336960 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 165293336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205295828400).

165293336960 is an abundant number, since it is smaller than the sum of its proper divisors (245298319840).

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

165293336960 is a wasteful number, since it uses less digits than its factorization.

165293336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39508 (or 39496 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 53.

The spelling of 165293336960 in words is "one hundred sixty-five billion, two hundred ninety-three million, three hundred thirty-six thousand, nine hundred sixty".