180027956655072 has 768 divisors, whose sum is σ = 570929458176000. Its totient is φ = 55742155223040.

The previous prime is 180027956655047. The next prime is 180027956655089. The reversal of 180027956655072 is 270556659720081.

180027956655072 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 2 + 7 + 9 + 5 + 6 + 6 + 550 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7756805004 + ... + 7756828212.

It is an arithmetic number, because the mean of its divisors is an integer number (743397732000).

Almost surely, 2^{180027956655072} is an apocalyptic number.

180027956655072 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 180027956655072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285464729088000).

180027956655072 is an abundant number, since it is smaller than the sum of its proper divisors (390901501520928).

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

180027956655072 is an equidigital number, since it uses as much as digits as its factorization.

180027956655072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23403 (or 23377 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 180027956655072 in words is "one hundred eighty trillion, twenty-seven billion, nine hundred fifty-six million, six hundred fifty-five thousand, seventy-two".