20217206205216 has 240 divisors, whose sum is σ = 59949725996160. Its totient is φ = 6683509324800.

The previous prime is 20217206205197. The next prime is 20217206205247. The reversal of 20217206205216 is 61250260271202.

20217206205216 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 7 + 2 + 0 + 620 + 5 + 21 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 241447005 + ... + 241530723.

It is an arithmetic number, because the mean of its divisors is an integer number (249790524984).

Almost surely, 2^{20217206205216} 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 20217206205216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29974862998080).

20217206205216 is an abundant number, since it is smaller than the sum of its proper divisors (39732519790944).

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

20217206205216 is a wasteful number, since it uses less digits than its factorization.

20217206205216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84509 (or 84492 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 20217206205216 its reverse (61250260271202), we get a palindrome (81467466476418).

The spelling of 20217206205216 in words is "twenty trillion, two hundred seventeen billion, two hundred six million, two hundred five thousand, two hundred sixteen".