180328638138880 has 640 divisors, whose sum is σ = 543019731369984. Its totient is φ = 55793531289600.

The previous prime is 180328638138833. The next prime is 180328638138991. The reversal of 180328638138880 is 88831836823081.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 41067781485 + ... + 41067785875.

Almost surely, 2^{180328638138880} is an apocalyptic number.

180328638138880 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 180328638138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271509865684992).

180328638138880 is an abundant number, since it is smaller than the sum of its proper divisors (362691093231104).

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

180328638138880 is a wasteful number, since it uses less digits than its factorization.

180328638138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5916 (or 5900 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 67.

The spelling of 180328638138880 in words is "one hundred eighty trillion, three hundred twenty-eight billion, six hundred thirty-eight million, one hundred thirty-eight thousand, eight hundred eighty".