180056449272 has 128 divisors (see below), whose sum is σ = 518918400000. Its totient is φ = 50998396800.

The previous prime is 180056449249. The next prime is 180056449273. The reversal of 180056449272 is 272944650081.

180056449272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180056449273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24006979 + ... + 24014477.

It is an arithmetic number, because the mean of its divisors is an integer number (4054050000).

Almost surely, 2^180056449272 is an apocalyptic number.

180056449272 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 180056449272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259459200000).

180056449272 is an abundant number, since it is smaller than the sum of its proper divisors (338861950728).

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

180056449272 is a wasteful number, since it uses less digits than its factorization.

180056449272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8737 (or 8733 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 180056449272 in words is "one hundred eighty billion, fifty-six million, four hundred forty-nine thousand, two hundred seventy-two".