217220617160 has 32 divisors (see below), whose sum is σ = 489087582840. Its totient is φ = 86827590144.

The previous prime is 217220617151. The next prime is 217220617169. The reversal of 217220617160 is 61716022712.

217220617160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (217220617151) and next prime (217220617169).

It can be written as a sum of positive squares in 4 ways, for example, as 216357080164 + 863536996 = 465142^2 + 29386^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 217220617160.

It is not an unprimeable number, because it can be changed into a prime (217220617169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1837487 + ... + 1952126.

Almost surely, 2^217220617160 is an apocalyptic number.

217220617160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217220617160 is an abundant number, since it is smaller than the sum of its proper divisors (271866965680).

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

217220617160 is a wasteful number, since it uses less digits than its factorization.

217220617160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791057 (or 3791053 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

Adding to 217220617160 its reverse (61716022712), we get a palindrome (278936639872).

The spelling of 217220617160 in words is "two hundred seventeen billion, two hundred twenty million, six hundred seventeen thousand, one hundred sixty".