217252893312 has 512 divisors, whose sum is σ = 791929958400. Its totient is φ = 57096990720.

The previous prime is 217252893271. The next prime is 217252893313. The reversal of 217252893312 is 213398252712.

217252893312 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 528 + 93 + 31 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (217252893313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104097133 + ... + 104099219.

It is an arithmetic number, because the mean of its divisors is an integer number (1546738200).

Almost surely, 2^217252893312 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 217252893312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395964979200).

217252893312 is an abundant number, since it is smaller than the sum of its proper divisors (574677065088).

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

217252893312 is a wasteful number, since it uses less digits than its factorization.

217252893312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2443 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 217252893312 in words is "two hundred seventeen billion, two hundred fifty-two million, eight hundred ninety-three thousand, three hundred twelve".