217207265000 has 160 divisors (see below), whose sum is σ = 561882515040. Its totient is φ = 78031200000.

The previous prime is 217207264969. The next prime is 217207265003. The reversal of 217207265000 is 562702712.

It is not an unprimeable number, because it can be changed into a prime (217207265003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4541210 + ... + 4588790.

It is an arithmetic number, because the mean of its divisors is an integer number (3511765719).

Almost surely, 2^217207265000 is an apocalyptic number.

217207265000 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 217207265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280941257520).

217207265000 is an abundant number, since it is smaller than the sum of its proper divisors (344675250040).

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

217207265000 is a wasteful number, since it uses less digits than its factorization.

217207265000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47701 (or 47682 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

Adding to 217207265000 its reverse (562702712), we get a palindrome (217769967712).

The spelling of 217207265000 in words is "two hundred seventeen billion, two hundred seven million, two hundred sixty-five thousand".