217117635012 has 216 divisors, whose sum is σ = 594665897280. Its totient is φ = 66759603840.

The previous prime is 217117634969. The next prime is 217117635017. The reversal of 217117635012 is 210536711712.

217117635012 is a `hidden beast` number, since 2 + 1 + 7 + 1 + 1 + 7 + 635 + 0 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (217117635017) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81652539 + ... + 81655197.

Almost surely, 2^217117635012 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 217117635012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297332948640).

217117635012 is an abundant number, since it is smaller than the sum of its proper divisors (377548262268).

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

217117635012 is a wasteful number, since it uses less digits than its factorization.

217117635012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 217117635012 in words is "two hundred seventeen billion, one hundred seventeen million, six hundred thirty-five thousand, twelve".