180082980000 has 1920 divisors, whose sum is σ = 843426017280. Its totient is φ = 36288000000.

The previous prime is 180082979953. The next prime is 180082980031. The reversal of 180082980000 is 89280081.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 319 ways as a sum of consecutive naturals, for example, 2536379965 + ... + 2536380035.

It is an arithmetic number, because the mean of its divisors is an integer number (439284384).

Almost surely, 2^180082980000 is an apocalyptic number.

180082980000 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 180082980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421713008640).

180082980000 is an abundant number, since it is smaller than the sum of its proper divisors (663343037280).

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

180082980000 is a wasteful number, since it uses less digits than its factorization.

180082980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 180082980000 in words is "one hundred eighty billion, eighty-two million, nine hundred eighty thousand".