180998039988480 has 1152 divisors, whose sum is σ = 690289521352704. Its totient is φ = 39842316288000.

The previous prime is 180998039988473. The next prime is 180998039988499. The reversal of 180998039988480 is 84889930899081.

It is a junction number, because it is equal to n+sod(n) for n = 180998039988393 and 180998039988402.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8540452764 + ... + 8540473956.

It is an arithmetic number, because the mean of its divisors is an integer number (599209653952).

Almost surely, 2^{180998039988480} is an apocalyptic number.

180998039988480 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 180998039988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345144760676352).

180998039988480 is an abundant number, since it is smaller than the sum of its proper divisors (509291481364224).

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

180998039988480 is a wasteful number, since it uses less digits than its factorization.

180998039988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21495 (or 21481 counting only the distinct ones).

The product of its (nonzero) digits is 2579890176, while the sum is 84.

The spelling of 180998039988480 in words is "one hundred eighty trillion, nine hundred ninety-eight billion, thirty-nine million, nine hundred eighty-eight thousand, four hundred eighty".