216665813545200 has 720 divisors, whose sum is σ = 839832502279680. Its totient is φ = 51405429841920.

The previous prime is 216665813545169. The next prime is 216665813545213. The reversal of 216665813545200 is 2545318566612.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 538175179 + ... + 538577621.

It is an arithmetic number, because the mean of its divisors is an integer number (1166434030944).

Almost surely, 2^{216665813545200} is an apocalyptic number.

216665813545200 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 216665813545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419916251139840).

216665813545200 is an abundant number, since it is smaller than the sum of its proper divisors (623166688734480).

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

216665813545200 is a wasteful number, since it uses less digits than its factorization.

216665813545200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402966 (or 402952 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 216665813545200 in words is "two hundred sixteen trillion, six hundred sixty-five billion, eight hundred thirteen million, five hundred forty-five thousand, two hundred".