216385852160 has 144 divisors (see below), whose sum is σ = 531383618304. Its totient is φ = 84379201536.

The previous prime is 216385852141. The next prime is 216385852217. The reversal of 216385852160 is 61258583612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30984029 + ... + 30991011.

It is an arithmetic number, because the mean of its divisors is an integer number (3690164016).

Almost surely, 2^216385852160 is an apocalyptic number.

216385852160 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 216385852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265691809152).

216385852160 is an abundant number, since it is smaller than the sum of its proper divisors (314997766144).

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

216385852160 is an equidigital number, since it uses as much as digits as its factorization.

216385852160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7610 (or 7596 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 47.

The spelling of 216385852160 in words is "two hundred sixteen billion, three hundred eighty-five million, eight hundred fifty-two thousand, one hundred sixty".