216817053216200 has 96 divisors (see below), whose sum is σ = 511098205824360. Its totient is φ = 85523201280000.

The previous prime is 216817053216149. The next prime is 216817053216221. The reversal of 216817053216200 is 2612350718612.

It can be written as a sum of positive squares in 12 ways, for example, as 61544370180484 + 155272683035716 = 7845022^2 + 12460846^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78964802 + ... + 81664398.

Almost surely, 2^{216817053216200} is an apocalyptic number.

216817053216200 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 216817053216200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255549102912180).

216817053216200 is an abundant number, since it is smaller than the sum of its proper divisors (294281152608160).

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

216817053216200 is a wasteful number, since it uses less digits than its factorization.

216817053216200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705187 (or 2705178 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 216817053216200 in words is "two hundred sixteen trillion, eight hundred seventeen billion, fifty-three million, two hundred sixteen thousand, two hundred".