165506356307292 has 384 divisors, whose sum is σ = 550128458170368. Its totient is φ = 37271530598400.

The previous prime is 165506356307273. The next prime is 165506356307297. The reversal of 165506356307292 is 292703653605561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165506356307297) 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, 99438813 + ... + 101089515.

It is an arithmetic number, because the mean of its divisors is an integer number (1432626193152).

Almost surely, 2^{165506356307292} is an apocalyptic number.

165506356307292 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 165506356307292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275064229085184).

165506356307292 is an abundant number, since it is smaller than the sum of its proper divisors (384622101863076).

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

165506356307292 is a wasteful number, since it uses less digits than its factorization.

165506356307292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651249 (or 1651247 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 60.

The spelling of 165506356307292 in words is "one hundred sixty-five trillion, five hundred six billion, three hundred fifty-six million, three hundred seven thousand, two hundred ninety-two".