165205483520 has 448 divisors, whose sum is σ = 504858528000. Its totient is φ = 51444449280.

The previous prime is 165205483511. The next prime is 165205483529. The reversal of 165205483520 is 25384502561.

It is an interprime number because it is at equal distance from previous prime (165205483511) and next prime (165205483529).

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165205483529) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 154541546 + ... + 154542614.

Almost surely, 2^165205483520 is an apocalyptic number.

165205483520 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 165205483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252429264000).

165205483520 is an abundant number, since it is smaller than the sum of its proper divisors (339653044480).

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

165205483520 is an equidigital number, since it uses as much as digits as its factorization.

165205483520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The spelling of 165205483520 in words is "one hundred sixty-five billion, two hundred five million, four hundred eighty-three thousand, five hundred twenty".