180478588520 has 128 divisors (see below), whose sum is σ = 455901436800. Its totient is φ = 63898361856.

The previous prime is 180478588471. The next prime is 180478588523. The reversal of 180478588520 is 25885874081.

It is a happy number.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (180478588523) 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, 1719059 + ... + 1821021.

It is an arithmetic number, because the mean of its divisors is an integer number (3561729975).

Almost surely, 2^180478588520 is an apocalyptic number.

180478588520 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 180478588520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227950718400).

180478588520 is an abundant number, since it is smaller than the sum of its proper divisors (275422848280).

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

180478588520 is a wasteful number, since it uses less digits than its factorization.

180478588520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102147 (or 102143 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 56.

The spelling of 180478588520 in words is "one hundred eighty billion, four hundred seventy-eight million, five hundred eighty-eight thousand, five hundred twenty".