180121653331200 has 810 divisors, whose sum is σ = 774725289581166. Its totient is φ = 41170657812480.

The previous prime is 180121653331187. The next prime is 180121653331267. The reversal of 180121653331200 is 2133356121081.

180121653331200 is a `hidden beast` number, since 1 + 80 + 1 + 2 + 16 + 533 + 31 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 92669101056 + 180028984230144 = 304416^2 + 13417488^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 21856122 + ... + 28947078.

Almost surely, 2^{180121653331200} is an apocalyptic number.

180121653331200 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 180121653331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387362644790583).

180121653331200 is an abundant number, since it is smaller than the sum of its proper divisors (594603636249966).

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

180121653331200 is an equidigital number, since it uses as much as digits as its factorization.

180121653331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7091009 (or 7090974 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 180121653331200 in words is "one hundred eighty trillion, one hundred twenty-one billion, six hundred fifty-three million, three hundred thirty-one thousand, two hundred".