180172800000 has 1080 divisors, whose sum is σ = 718780057632. Its totient is φ = 43253760000.

The previous prime is 180172799957. The next prime is 180172800011. The reversal of 180172800000 is 8271081.

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 71 ways as a sum of consecutive naturals, for example, 7833599989 + ... + 7833600011.

Almost surely, 2^180172800000 is an apocalyptic number.

180172800000 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 180172800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359390028816).

180172800000 is an abundant number, since it is smaller than the sum of its proper divisors (538607257632).

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

180172800000 is an frugal number, since it uses more digits than its factorization.

180172800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 180172800000 in words is "one hundred eighty billion, one hundred seventy-two million, eight hundred thousand".