165017272552 has 96 divisors (see below), whose sum is σ = 373557844800. Its totient is φ = 67970327040.

The previous prime is 165017272501. The next prime is 165017272573. The reversal of 165017272552 is 255272710561.

165017272552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 165017272499 and 165017272508.

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 23 ways as a sum of consecutive naturals, for example, 227968 + ... + 618064.

It is an arithmetic number, because the mean of its divisors is an integer number (3891227550).

Almost surely, 2^165017272552 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 165017272552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186778922400).

165017272552 is an abundant number, since it is smaller than the sum of its proper divisors (208540572248).

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

165017272552 is a wasteful number, since it uses less digits than its factorization.

165017272552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390167 (or 390152 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 43.

The spelling of 165017272552 in words is "one hundred sixty-five billion, seventeen million, two hundred seventy-two thousand, five hundred fifty-two".