180812016528 has 160 divisors (see below), whose sum is σ = 549276094080. Its totient is φ = 50529054720.

The previous prime is 180812016527. The next prime is 180812016557. The reversal of 180812016528 is 825610218081.

180812016528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 180812016528.

It is not an unprimeable number, because it can be changed into a prime (180812016527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7600300 + ... + 7624052.

It is an arithmetic number, because the mean of its divisors is an integer number (3432975588).

Almost surely, 2^180812016528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180812016528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274638047040).

180812016528 is an abundant number, since it is smaller than the sum of its proper divisors (368464077552).

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

180812016528 is a wasteful number, since it uses less digits than its factorization.

180812016528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24897 (or 24891 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 42.

The spelling of 180812016528 in words is "one hundred eighty billion, eight hundred twelve million, sixteen thousand, five hundred twenty-eight".