180992007168 has 264 divisors, whose sum is σ = 563089120272. Its totient is φ = 51535282176.

The previous prime is 180992007137. The next prime is 180992007191. The reversal of 180992007168 is 861700299081.

It is a self number, because there is not a number n which added to its sum of digits gives 180992007168.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47715480 + ... + 47719272.

Almost surely, 2^180992007168 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 180992007168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281544560136).

180992007168 is an abundant number, since it is smaller than the sum of its proper divisors (382097113104).

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

180992007168 is a wasteful number, since it uses less digits than its factorization.

180992007168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 51.

The spelling of 180992007168 in words is "one hundred eighty billion, nine hundred ninety-two million, seven thousand, one hundred sixty-eight".