165392713260320 has 768 divisors, whose sum is σ = 550487075927040. Its totient is φ = 45410653569024.

The previous prime is 165392713260289. The next prime is 165392713260329. The reversal of 165392713260320 is 23062317293561.

165392713260320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×165392713260320² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (165392713260329) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 173531312 + ... + 174481808.

It is an arithmetic number, because the mean of its divisors is an integer number (716780046780).

Almost surely, 2^{165392713260320} is an apocalyptic number.

165392713260320 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 165392713260320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275243537963520).

165392713260320 is an abundant number, since it is smaller than the sum of its proper divisors (385094362666720).

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

165392713260320 is a wasteful number, since it uses less digits than its factorization.

165392713260320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950605 (or 950597 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 50.

The spelling of 165392713260320 in words is "one hundred sixty-five trillion, three hundred ninety-two billion, seven hundred thirteen million, two hundred sixty thousand, three hundred twenty".