165461902320 has 320 divisors, whose sum is σ = 622048186368. Its totient is φ = 35831808000.

The previous prime is 165461902297. The next prime is 165461902337. The reversal of 165461902320 is 23209164561.

It is a super-2 number, since 2×165461902320² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 986160 + ... + 1141680.

Almost surely, 2^165461902320 is an apocalyptic number.

165461902320 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 165461902320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311024093184).

165461902320 is an abundant number, since it is smaller than the sum of its proper divisors (456586284048).

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

165461902320 is a wasteful number, since it uses less digits than its factorization.

165461902320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155592 (or 155586 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 165461902320 in words is "one hundred sixty-five billion, four hundred sixty-one million, nine hundred two thousand, three hundred twenty".