180918785875968 has 1344 divisors, whose sum is σ = 638869773604608. Its totient is φ = 50084267950080.

The previous prime is 180918785875909. The next prime is 180918785875991. The reversal of 180918785875968 is 869578587819081.

180918785875968 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 1 + 8 + 7 + 8 + 5 + 8 + 7 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89696967696 + ... + 89696969712.

It is an arithmetic number, because the mean of its divisors is an integer number (475349533932).

Almost surely, 2^{180918785875968} is an apocalyptic number.

180918785875968 is a gapful number since it is divisible by the number (18) 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 180918785875968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319434886802304).

180918785875968 is an abundant number, since it is smaller than the sum of its proper divisors (457950987728640).

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

180918785875968 is an equidigital number, since it uses as much as digits as its factorization.

180918785875968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 19508428800, while the sum is 90.

The spelling of 180918785875968 in words is "one hundred eighty trillion, nine hundred eighteen billion, seven hundred eighty-five million, eight hundred seventy-five thousand, nine hundred sixty-eight".