165609972503424 has 512 divisors, whose sum is σ = 494789402265600. Its totient is φ = 54529848705024.

The previous prime is 165609972503387. The next prime is 165609972503447. The reversal of 165609972503424 is 424305279906561.

It is a happy number.

165609972503424 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 0 + 99 + 72 + 50 + 3 + 424 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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, 69671842524 + ... + 69671844900.

It is an arithmetic number, because the mean of its divisors is an integer number (966385551300).

Almost surely, 2^{165609972503424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165609972503424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247394701132800).

165609972503424 is an abundant number, since it is smaller than the sum of its proper divisors (329179429762176).

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

165609972503424 is a wasteful number, since it uses less digits than its factorization.

165609972503424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 165609972503424 in words is "one hundred sixty-five trillion, six hundred nine billion, nine hundred seventy-two million, five hundred three thousand, four hundred twenty-four".