165887664000 has 256 divisors, whose sum is σ = 555074208000. Its totient is φ = 43821926400.

The previous prime is 165887663999. The next prime is 165887664017. The reversal of 165887664000 is 466788561.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5119851 + ... + 5152149.

It is an arithmetic number, because the mean of its divisors is an integer number (2168258625).

Almost surely, 2^165887664000 is an apocalyptic number.

165887664000 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 165887664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277537104000).

165887664000 is an abundant number, since it is smaller than the sum of its proper divisors (389186544000).

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

165887664000 is a wasteful number, since it uses less digits than its factorization.

165887664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32438 (or 32416 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 165887664000 in words is "one hundred sixty-five billion, eight hundred eighty-seven million, six hundred sixty-four thousand".