217725132240 has 1440 divisors, whose sum is σ = 985143803904. Its totient is φ = 41850224640.

The previous prime is 217725132199. The next prime is 217725132293. The reversal of 217725132240 is 42231527712.

217725132240 is a `hidden beast` number, since 2 + 17 + 72 + 513 + 22 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 217725132195 and 217725132204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1714371057 + ... + 1714371183.

Almost surely, 2^217725132240 is an apocalyptic number.

217725132240 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 217725132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492571901952).

217725132240 is an abundant number, since it is smaller than the sum of its proper divisors (767418671664).

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

217725132240 is a wasteful number, since it uses less digits than its factorization.

217725132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 217725132240 its reverse (42231527712), we get a palindrome (259956659952).

The spelling of 217725132240 in words is "two hundred seventeen billion, seven hundred twenty-five million, one hundred thirty-two thousand, two hundred forty".