217975579712 has 84 divisors (see below), whose sum is σ = 475832442288. Its totient is φ = 98998521600.

The previous prime is 217975579697. The next prime is 217975579753.

217975579712 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9986603 + ... + 10008405.

It is an arithmetic number, because the mean of its divisors is an integer number (5664671932).

Almost surely, 2^217975579712 is an apocalyptic number.

217975579712 is a gapful number since it is divisible by the number (22) 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 217975579712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237916221144).

217975579712 is an abundant number, since it is smaller than the sum of its proper divisors (257856862576).

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

217975579712 is a wasteful number, since it uses less digits than its factorization.

217975579712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23128 (or 23107 counting only the distinct ones).

The product of its digits is 19448100, while the sum is 62.

The spelling of 217975579712 in words is "two hundred seventeen billion, nine hundred seventy-five million, five hundred seventy-nine thousand, seven hundred twelve".