216112160 has 192 divisors, whose sum is σ = 611380224. Its totient is φ = 71270400.

The previous prime is 216112151. The next prime is 216112181. The reversal of 216112160 is 61211612.

216112160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 927404 + ... + 927636.

It is an arithmetic number, because the mean of its divisors is an integer number (3184272).

Almost surely, 2^216112160 is an apocalyptic number.

216112160 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 216112160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305690112).

216112160 is an abundant number, since it is smaller than the sum of its proper divisors (395268064).

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

216112160 is a wasteful number, since it uses less digits than its factorization.

216112160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 216112160 is about 14700.7537221736. The cubic root of 216112160 is about 600.1038338817.

Adding to 216112160 its reverse (61211612), we get a palindrome (277323772).

The spelling of 216112160 in words is "two hundred sixteen million, one hundred twelve thousand, one hundred sixty".