217013285160 has 320 divisors, whose sum is σ = 837855342720. Its totient is φ = 49350228480.

The previous prime is 217013285117. The next prime is 217013285201. The reversal of 217013285160 is 61582310712.

217013285160 is a `hidden beast` number, since 2 + 1 + 7 + 0 + 132 + 8 + 516 + 0 = 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 79 ways as a sum of consecutive naturals, for example, 4443675 + ... + 4492245.

It is an arithmetic number, because the mean of its divisors is an integer number (2618297946).

Almost surely, 2^217013285160 is an apocalyptic number.

217013285160 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 217013285160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418927671360).

217013285160 is an abundant number, since it is smaller than the sum of its proper divisors (620842057560).

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

217013285160 is a wasteful number, since it uses less digits than its factorization.

217013285160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48798 (or 48785 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 217013285160 its reverse (61582310712), we get a palindrome (278595595872).

The spelling of 217013285160 in words is "two hundred seventeen billion, thirteen million, two hundred eighty-five thousand, one hundred sixty".