216317916360 has 1280 divisors, whose sum is σ = 927347097600. Its totient is φ = 44019376128.

The previous prime is 216317916337. The next prime is 216317916371. The reversal of 216317916360 is 63619713612.

It is a happy number.

216317916360 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 1 + 7 + 9 + 1 + 636 + 0 = 666.

216317916360 is digitally balanced in base 2, 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 (45).

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 319 ways as a sum of consecutive naturals, for example, 1703290617 + ... + 1703290743.

It is an arithmetic number, because the mean of its divisors is an integer number (724489920).

Almost surely, 2^216317916360 is an apocalyptic number.

216317916360 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 216317916360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463673548800).

216317916360 is an abundant number, since it is smaller than the sum of its proper divisors (711029181240).

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

216317916360 is a wasteful number, since it uses less digits than its factorization.

216317916360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 216317916360 in words is "two hundred sixteen billion, three hundred seventeen million, nine hundred sixteen thousand, three hundred sixty".