180738755239680 has 1152 divisors, whose sum is σ = 709127618734080. Its totient is φ = 43765268889600.

The previous prime is 180738755239607. The next prime is 180738755239709. The reversal of 180738755239680 is 86932557837081.

180738755239680 is a `hidden beast` number, since 1 + 8 + 0 + 7 + 3 + 8 + 7 + 5 + 523 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 180738755239599 and 180738755239608.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 31747538914 + ... + 31747544606.

It is an arithmetic number, because the mean of its divisors is an integer number (615562169040).

Almost surely, 2^{180738755239680} is an apocalyptic number.

180738755239680 is a gapful number since it is divisible by the number (10) 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 180738755239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354563809367040).

180738755239680 is an abundant number, since it is smaller than the sum of its proper divisors (528388863494400).

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

180738755239680 is an equidigital number, since it uses as much as digits as its factorization.

180738755239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6777 (or 6745 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 180738755239680 in words is "one hundred eighty trillion, seven hundred thirty-eight billion, seven hundred fifty-five million, two hundred thirty-nine thousand, six hundred eighty".