216268900109856 has 576 divisors, whose sum is σ = 711853275732480. Its totient is φ = 63349613222400.

The previous prime is 216268900109839. The next prime is 216268900109869. The reversal of 216268900109856 is 658901009862612.

216268900109856 is a `hidden beast` number, since 216 + 268 + 9 + 0 + 0 + 109 + 8 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 216268900109793 and 216268900109802.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8283929955 + ... + 8283956061.

It is an arithmetic number, because the mean of its divisors is an integer number (1235856381480).

Almost surely, 2^{216268900109856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216268900109856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355926637866240).

216268900109856 is an abundant number, since it is smaller than the sum of its proper divisors (495584375622624).

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

216268900109856 is a wasteful number, since it uses less digits than its factorization.

216268900109856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27106 (or 27061 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 216268900109856 in words is "two hundred sixteen trillion, two hundred sixty-eight billion, nine hundred million, one hundred nine thousand, eight hundred fifty-six".