180083773296 has 240 divisors, whose sum is σ = 601582924800. Its totient is φ = 49212790272.

The previous prime is 180083773217. The next prime is 180083773307. The reversal of 180083773296 is 692377380081.

180083773296 is a `hidden beast` number, since 180 + 0 + 8 + 377 + 3 + 2 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2159545 + ... + 2241383.

It is an arithmetic number, because the mean of its divisors is an integer number (2506595520).

Almost surely, 2^180083773296 is an apocalyptic number.

180083773296 is a gapful number since it is divisible by the number (16) 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 180083773296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300791462400).

180083773296 is an abundant number, since it is smaller than the sum of its proper divisors (421499151504).

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

180083773296 is a wasteful number, since it uses less digits than its factorization.

180083773296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81956 (or 81947 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 180083773296 in words is "one hundred eighty billion, eighty-three million, seven hundred seventy-three thousand, two hundred ninety-six".