165984082960384 has 224 divisors, whose sum is σ = 380023402268160. Its totient is φ = 71857373184000.

The previous prime is 165984082960379. The next prime is 165984082960391. The reversal of 165984082960384 is 483069280489561.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203959729 + ... + 204771919.

It is an arithmetic number, because the mean of its divisors is an integer number (1696533045840).

Almost surely, 2^{165984082960384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165984082960384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190011701134080).

165984082960384 is an abundant number, since it is smaller than the sum of its proper divisors (214039319307776).

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

165984082960384 is a wasteful number, since it uses less digits than its factorization.

165984082960384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812350 (or 812326 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 73.

The spelling of 165984082960384 in words is "one hundred sixty-five trillion, nine hundred eighty-four billion, eighty-two million, nine hundred sixty thousand, three hundred eighty-four".