180027095616 has 315 divisors, whose sum is σ = 547878867283. Its totient is φ = 58451016960.

The previous prime is 180027095603. The next prime is 180027095617. The reversal of 180027095616 is 616590720081.

The square root of 180027095616 is 424296.

It is a perfect power (a square), and thus also a powerful number.

180027095616 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 27 + 0 + 9 + 5 + 616 = 666.

180027095616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (180027095617) 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 44 ways as a sum of consecutive naturals, for example, 2169001111 + ... + 2169001193.

Almost surely, 2^180027095616 is an apocalyptic number.

180027095616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

180027095616 is the 424296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180027095616

180027095616 is an abundant number, since it is smaller than the sum of its proper divisors (367851771667).

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

180027095616 is an frugal number, since it uses more digits than its factorization.

180027095616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 180027095616 in words is "one hundred eighty billion, twenty-seven million, ninety-five thousand, six hundred sixteen".