180982128384 has 180 divisors, whose sum is σ = 571401540864. Its totient is φ = 56778596352.

The previous prime is 180982128377. The next prime is 180982128407. The reversal of 180982128384 is 483821289081.

180982128384 is a `hidden beast` number, since 180 + 9 + 82 + 1 + 2 + 8 + 384 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 180982128384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95809 + ... + 609215.

Almost surely, 2^180982128384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180982128384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285700770432).

180982128384 is an abundant number, since it is smaller than the sum of its proper divisors (390419412480).

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

180982128384 is an equidigital number, since it uses as much as digits as its factorization.

180982128384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513452 (or 513429 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 180982128384 in words is "one hundred eighty billion, nine hundred eighty-two million, one hundred twenty-eight thousand, three hundred eighty-four".