165905030016 has 384 divisors, whose sum is σ = 551350800000. Its totient is φ = 47407288320.

The previous prime is 165905029967. The next prime is 165905030033. The reversal of 165905030016 is 610030509561.

165905030016 is a `hidden beast` number, since 1 + 6 + 590 + 50 + 3 + 0 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 15796735 + ... + 15807233.

It is an arithmetic number, because the mean of its divisors is an integer number (1435809375).

Almost surely, 2^165905030016 is an apocalyptic number.

165905030016 is a gapful number since it is divisible by the number (16) 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 165905030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275675400000).

165905030016 is an abundant number, since it is smaller than the sum of its proper divisors (385445769984).

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

165905030016 is a wasteful number, since it uses less digits than its factorization.

165905030016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10602 (or 10587 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

Adding to 165905030016 its reverse (610030509561), we get a palindrome (775935539577).

The spelling of 165905030016 in words is "one hundred sixty-five billion, nine hundred five million, thirty thousand, sixteen".