171260305216 has 224 divisors, whose sum is σ = 457647982848. Its totient is φ = 61409525760.

The previous prime is 171260305213. The next prime is 171260305273. The reversal of 171260305216 is 612503062171.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171260305213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22610806 + ... + 22618378.

It is an arithmetic number, because the mean of its divisors is an integer number (2043071352).

Almost surely, 2^171260305216 is an apocalyptic number.

171260305216 is a gapful number since it is divisible by the number (16) 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 171260305216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228823991424).

171260305216 is an abundant number, since it is smaller than the sum of its proper divisors (286387677632).

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

171260305216 is a wasteful number, since it uses less digits than its factorization.

171260305216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7969 (or 7959 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

Adding to 171260305216 its reverse (612503062171), we get a palindrome (783763367387).

The spelling of 171260305216 in words is "one hundred seventy-one billion, two hundred sixty million, three hundred five thousand, two hundred sixteen".