180535386960 has 240 divisors, whose sum is σ = 630793912320. Its totient is φ = 46222202880.

The previous prime is 180535386851. The next prime is 180535387001. The reversal of 180535386960 is 69683535081.

180535386960 is a `hidden beast` number, since 18 + 0 + 5 + 3 + 538 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 180535386897 and 180535386906.

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 47 ways as a sum of consecutive naturals, for example, 2802796 + ... + 2866484.

It is an arithmetic number, because the mean of its divisors is an integer number (2628307968).

Almost surely, 2^180535386960 is an apocalyptic number.

180535386960 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 180535386960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315396956160).

180535386960 is an abundant number, since it is smaller than the sum of its proper divisors (450258525360).

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

180535386960 is a wasteful number, since it uses less digits than its factorization.

180535386960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63866 (or 63857 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 180535386960 in words is "one hundred eighty billion, five hundred thirty-five million, three hundred eighty-six thousand, nine hundred sixty".