216213903360 has 1728 divisors, whose sum is σ = 978774451200. Its totient is φ = 43698880512.

The previous prime is 216213903343. The next prime is 216213903391. The reversal of 216213903360 is 63309312612.

It is a happy number.

216213903360 is a `hidden beast` number, since 2 + 162 + 139 + 0 + 3 + 360 = 666.

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 143 ways as a sum of consecutive naturals, for example, 1702471617 + ... + 1702471743.

It is an arithmetic number, because the mean of its divisors is an integer number (566420400).

Almost surely, 2^216213903360 is an apocalyptic number.

216213903360 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 216213903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489387225600).

216213903360 is an abundant number, since it is smaller than the sum of its proper divisors (762560547840).

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

216213903360 is a wasteful number, since it uses less digits than its factorization.

216213903360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 216213903360 in words is "two hundred sixteen billion, two hundred thirteen million, nine hundred three thousand, three hundred sixty".