216111168000 has 2880 divisors, whose sum is σ = 1059562183680. Its totient is φ = 41803776000.

The previous prime is 216111167959. The next prime is 216111168011. The reversal of 216111168000 is 861111612.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6971327985 + ... + 6971328015.

It is an arithmetic number, because the mean of its divisors is an integer number (367903536).

Almost surely, 2^216111168000 is an apocalyptic number.

216111168000 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 216111168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529781091840).

216111168000 is an abundant number, since it is smaller than the sum of its proper divisors (843451015680).

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

216111168000 is a wasteful number, since it uses less digits than its factorization.

216111168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

Adding to 216111168000 its reverse (861111612), we get a palindrome (216972279612).

The spelling of 216111168000 in words is "two hundred sixteen billion, one hundred eleven million, one hundred sixty-eight thousand".