180956160000 has 2240 divisors, whose sum is σ = 884398901760. Its totient is φ = 35389440000.

The previous prime is 180956159977. The next prime is 180956160001. The reversal of 180956160000 is 61659081.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180956160001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10644479992 + ... + 10644480008.

Almost surely, 2^180956160000 is an apocalyptic number.

180956160000 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 180956160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442199450880).

180956160000 is an abundant number, since it is smaller than the sum of its proper divisors (703442741760).

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

180956160000 is an equidigital number, since it uses as much as digits as its factorization.

180956160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 180956160000 in words is "one hundred eighty billion, nine hundred fifty-six million, one hundred sixty thousand".