165872047680 has 336 divisors, whose sum is σ = 596119305600. Its totient is φ = 42253787136.

The previous prime is 165872047673. The next prime is 165872047723. The reversal of 165872047680 is 86740278561.

165872047680 is a `hidden beast` number, since 16 + 5 + 87 + 2 + 0 + 476 + 80 = 666.

165872047680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79023271 + ... + 79025369.

It is an arithmetic number, because the mean of its divisors is an integer number (1774164600).

Almost surely, 2^165872047680 is an apocalyptic number.

165872047680 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 165872047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298059652800).

165872047680 is an abundant number, since it is smaller than the sum of its proper divisors (430247257920).

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

165872047680 is a wasteful number, since it uses less digits than its factorization.

165872047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 165872047680 in words is "one hundred sixty-five billion, eight hundred seventy-two million, forty-seven thousand, six hundred eighty".