165649210272 has 1536 divisors, whose sum is σ = 668344320000. Its totient is φ = 39504568320.

The previous prime is 165649210231. The next prime is 165649210273. The reversal of 165649210272 is 272012946561.

165649210272 is a `hidden beast` number, since 1 + 6 + 56 + 492 + 102 + 7 + 2 = 666.

165649210272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (165649210273) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2269167228 + ... + 2269167300.

It is an arithmetic number, because the mean of its divisors is an integer number (435120000).

Almost surely, 2^165649210272 is an apocalyptic number.

165649210272 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 165649210272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334172160000).

165649210272 is an abundant number, since it is smaller than the sum of its proper divisors (502695109728).

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

165649210272 is a wasteful number, since it uses less digits than its factorization.

165649210272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 165649210272 in words is "one hundred sixty-five billion, six hundred forty-nine million, two hundred ten thousand, two hundred seventy-two".