180956882304 has 896 divisors, whose sum is σ = 626747535360. Its totient is φ = 51937459200.

The previous prime is 180956882251. The next prime is 180956882311. The reversal of 180956882304 is 403288659081.

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

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 3850146409 + ... + 3850146455.

Almost surely, 2^180956882304 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 180956882304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313373767680).

180956882304 is an abundant number, since it is smaller than the sum of its proper divisors (445790653056).

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

180956882304 is an frugal number, since it uses more digits than its factorization.

180956882304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 180956882304 in words is "one hundred eighty billion, nine hundred fifty-six million, eight hundred eighty-two thousand, three hundred four".