217550055712 has 96 divisors (see below), whose sum is σ = 471204216000. Its totient is φ = 98049408000.

The previous prime is 217550055631. The next prime is 217550055713.

It is a happy number.

217550055712 is nontrivially palindromic in base 10.

217550055712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (217550055713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32461962 + ... + 32468662.

It is an arithmetic number, because the mean of its divisors is an integer number (4908377250).

Almost surely, 2^217550055712 is an apocalyptic number.

217550055712 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 217550055712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235602108000).

217550055712 is an abundant number, since it is smaller than the sum of its proper divisors (253654160288).

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

217550055712 is a wasteful number, since it uses less digits than its factorization.

217550055712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7490 (or 7482 counting only the distinct ones).

The product of its (nonzero) digits is 122500, while the sum is 40.

The spelling of 217550055712 in words is "two hundred seventeen billion, five hundred fifty million, fifty-five thousand, seven hundred twelve".