165065862240 has 864 divisors, whose sum is σ = 630608902560. Its totient is φ = 39176110080.

The previous prime is 165065862233. The next prime is 165065862289. The reversal of 165065862240 is 42268560561.

165065862240 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 6 + 586 + 22 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1701709872 + ... + 1701709968.

It is an arithmetic number, because the mean of its divisors is an integer number (729871415).

Almost surely, 2^165065862240 is an apocalyptic number.

165065862240 is a gapful number since it is divisible by the number (10) 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 165065862240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315304451280).

165065862240 is an abundant number, since it is smaller than the sum of its proper divisors (465543040320).

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

165065862240 is a wasteful number, since it uses less digits than its factorization.

165065862240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 165065862240 in words is "one hundred sixty-five billion, sixty-five million, eight hundred sixty-two thousand, two hundred forty".