165944160000 has 720 divisors, whose sum is σ = 620666323200. Its totient is φ = 43716096000.

The previous prime is 165944159981. The next prime is 165944160013. The reversal of 165944160000 is 61449561.

165944160000 is a `hidden beast` number, since 1 + 6 + 5 + 9 + 4 + 41 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 462239821 + ... + 462240179.

It is an arithmetic number, because the mean of its divisors is an integer number (862036560).

Almost surely, 2^165944160000 is an apocalyptic number.

165944160000 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 165944160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310333161600).

165944160000 is an abundant number, since it is smaller than the sum of its proper divisors (454722163200).

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

165944160000 is an equidigital number, since it uses as much as digits as its factorization.

165944160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 165944160000 in words is "one hundred sixty-five billion, nine hundred forty-four million, one hundred sixty thousand".