180316413082880 has 144 divisors (see below), whose sum is σ = 435908912523840. Its totient is φ = 71459975430144.

The previous prime is 180316413082853. The next prime is 180316413082889. The reversal of 180316413082880 is 88280314613081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180316413082889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366995459 + ... + 367486461.

It is an arithmetic number, because the mean of its divisors is an integer number (3027145225860).

Almost surely, 2^{180316413082880} is an apocalyptic number.

180316413082880 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 180316413082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217954456261920).

180316413082880 is an abundant number, since it is smaller than the sum of its proper divisors (255592499440960).

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

180316413082880 is a wasteful number, since it uses less digits than its factorization.

180316413082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493676 (or 493662 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 53.

The spelling of 180316413082880 in words is "one hundred eighty trillion, three hundred sixteen billion, four hundred thirteen million, eighty-two thousand, eight hundred eighty".