180165888000 has 576 divisors, whose sum is σ = 742237292160. Its totient is φ = 41177088000.

The previous prime is 180165887989. The next prime is 180165888061. The reversal of 180165888000 is 888561081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16122415 + ... + 16133585.

It is an arithmetic number, because the mean of its divisors is an integer number (1288606410).

Almost surely, 2^180165888000 is an apocalyptic number.

180165888000 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 180165888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371118646080).

180165888000 is an abundant number, since it is smaller than the sum of its proper divisors (562071404160).

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

180165888000 is a wasteful number, since it uses less digits than its factorization.

180165888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11221 (or 11188 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

It can be divided in two parts, 180 and 165888000, that multiplied together give a square (29859840000 = 172800²).

The spelling of 180165888000 in words is "one hundred eighty billion, one hundred sixty-five million, eight hundred eighty-eight thousand".