165586915872 has 240 divisors, whose sum is σ = 589295710080. Its totient is φ = 44527491072.

The previous prime is 165586915849. The next prime is 165586915909. The reversal of 165586915872 is 278519685561.

165586915872 is a `hidden beast` number, since 1 + 6 + 558 + 6 + 9 + 1 + 5 + 8 + 72 = 666.

165586915872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 39 ways as a sum of consecutive naturals, for example, 40029 + ... + 576867.

It is an arithmetic number, because the mean of its divisors is an integer number (2455398792).

Almost surely, 2^165586915872 is an apocalyptic number.

165586915872 is a gapful number since it is divisible by the number (12) 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 165586915872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294647855040).

165586915872 is an abundant number, since it is smaller than the sum of its proper divisors (423708794208).

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

165586915872 is a wasteful number, since it uses less digits than its factorization.

165586915872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536885 (or 536868 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 63.

The spelling of 165586915872 in words is "one hundred sixty-five billion, five hundred eighty-six million, nine hundred fifteen thousand, eight hundred seventy-two".