180483072000 has 1344 divisors, whose sum is σ = 769177918080. Its totient is φ = 37158912000.

The previous prime is 180483071963. The next prime is 180483072023. The reversal of 180483072000 is 270384081.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 1655807946 + ... + 1655808054.

Almost surely, 2^180483072000 is an apocalyptic number.

180483072000 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 180483072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384588959040).

180483072000 is an abundant number, since it is smaller than the sum of its proper divisors (588694846080).

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

180483072000 is a wasteful number, since it uses less digits than its factorization.

180483072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 180483072000 in words is "one hundred eighty billion, four hundred eighty-three million, seventy-two thousand".