2185161331200 has 480 divisors, whose sum is σ = 7775471480832. Its totient is φ = 539387904000.

The previous prime is 2185161331183. The next prime is 2185161331271. The reversal of 2185161331200 is 21331615812.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27339295 + ... + 27419105.

Almost surely, 2^{2185161331200} is an apocalyptic number.

2185161331200 is a gapful number since it is divisible by the number (20) 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 2185161331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887735740416).

2185161331200 is an abundant number, since it is smaller than the sum of its proper divisors (5590310149632).

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

2185161331200 is a wasteful number, since it uses less digits than its factorization.

2185161331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79896 (or 79875 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 2185161331200 in words is "two trillion, one hundred eighty-five billion, one hundred sixty-one million, three hundred thirty-one thousand, two hundred".