216786677813200 has 120 divisors (see below), whose sum is σ = 570117352716576. Its totient is φ = 78562469184000.

The previous prime is 216786677813149. The next prime is 216786677813227. The reversal of 216786677813200 is 2318776687612.

It is a super-3 number, since 3×216786677813200³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 82788786 + ... + 85367185.

Almost surely, 2^{216786677813200} is an apocalyptic number.

216786677813200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216786677813200 is an abundant number, since it is smaller than the sum of its proper divisors (353330674903376).

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

216786677813200 is a wasteful number, since it uses less digits than its factorization.

216786677813200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168156293 (or 168156282 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 64.

The spelling of 216786677813200 in words is "two hundred sixteen trillion, seven hundred eighty-six billion, six hundred seventy-seven million, eight hundred thirteen thousand, two hundred".