180530470867200 has 432 divisors, whose sum is σ = 596825176368960. Its totient is φ = 48057744752640.

The previous prime is 180530470867199. The next prime is 180530470867249. The reversal of 180530470867200 is 2768074035081.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38223684039 + ... + 38223688761.

Almost surely, 2^{180530470867200} is an apocalyptic number.

180530470867200 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 180530470867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298412588184480).

180530470867200 is an abundant number, since it is smaller than the sum of its proper divisors (416294705501760).

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

180530470867200 is a wasteful number, since it uses less digits than its factorization.

180530470867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7794 (or 7775 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 180530470867200 in words is "one hundred eighty trillion, five hundred thirty billion, four hundred seventy million, eight hundred sixty-seven thousand, two hundred".