165799465920 has 1344 divisors, whose sum is σ = 718016140800. Its totient is φ = 35765452800.

The previous prime is 165799465889. The next prime is 165799465963. The reversal of 165799465920 is 29564997561.

165799465920 is a `hidden beast` number, since 1 + 6 + 579 + 9 + 4 + 6 + 59 + 2 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 337676875 + ... + 337677365.

It is an arithmetic number, because the mean of its divisors is an integer number (534238200).

Almost surely, 2^165799465920 is an apocalyptic number.

165799465920 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 165799465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359008070400).

165799465920 is an abundant number, since it is smaller than the sum of its proper divisors (552216674880).

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

165799465920 is a wasteful number, since it uses less digits than its factorization.

165799465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 165799465920 in words is "one hundred sixty-five billion, seven hundred ninety-nine million, four hundred sixty-five thousand, nine hundred twenty".