180182678902272 has 800 divisors, whose sum is σ = 554295421706400. Its totient is φ = 58249047048192.

The previous prime is 180182678902231. The next prime is 180182678902277. The reversal of 180182678902272 is 272209876281081.

180182678902272 is a `hidden beast` number, since 1 + 8 + 0 + 18 + 267 + 8 + 90 + 2 + 272 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180182678902277) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 164851489758 + ... + 164851490850.

It is an arithmetic number, because the mean of its divisors is an integer number (692869277133).

Almost surely, 2^{180182678902272} is an apocalyptic number.

180182678902272 is a gapful number since it is divisible by the number (12) 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 180182678902272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277147710853200).

180182678902272 is an abundant number, since it is smaller than the sum of its proper divisors (374112742804128).

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

180182678902272 is an equidigital number, since it uses as much as digits as its factorization.

180182678902272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 180182678902272 in words is "one hundred eighty trillion, one hundred eighty-two billion, six hundred seventy-eight million, nine hundred two thousand, two hundred seventy-two".