217206055000 has 320 divisors, whose sum is σ = 570755924640. Its totient is φ = 76800000000.

The previous prime is 217206054977. The next prime is 217206055021. The reversal of 217206055000 is 550602712.

It is a self number, because there is not a number n which added to its sum of digits gives 217206055000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 338854680 + ... + 338855320.

Almost surely, 2^217206055000 is an apocalyptic number.

217206055000 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 217206055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285377962320).

217206055000 is an abundant number, since it is smaller than the sum of its proper divisors (353549869640).

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

217206055000 is a wasteful number, since it uses less digits than its factorization.

217206055000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

Adding to 217206055000 its reverse (550602712), we get a palindrome (217756657712).

The spelling of 217206055000 in words is "two hundred seventeen billion, two hundred six million, fifty-five thousand".