180535885053120 has 672 divisors, whose sum is σ = 649341121228800. Its totient is φ = 45986572247040.

The previous prime is 180535885053103. The next prime is 180535885053191. The reversal of 180535885053120 is 21350588535081.

180535885053120 is a `hidden beast` number, since 1 + 8 + 0 + 5 + 3 + 5 + 8 + 8 + 505 + 3 + 120 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2823090906 + ... + 2823154854.

It is an arithmetic number, because the mean of its divisors is an integer number (966281430400).

Almost surely, 2^{180535885053120} is an apocalyptic number.

180535885053120 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 180535885053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324670560614400).

180535885053120 is an abundant number, since it is smaller than the sum of its proper divisors (468805236175680).

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

180535885053120 is a wasteful number, since it uses less digits than its factorization.

180535885053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64413 (or 64400 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 54.

The spelling of 180535885053120 in words is "one hundred eighty trillion, five hundred thirty-five billion, eight hundred eighty-five million, fifty-three thousand, one hundred twenty".