171071725120 has 28 divisors (see below), whose sum is σ = 407364546204. Its totient is φ = 68428689920.

The previous prime is 171071725109. The next prime is 171071725127. The reversal of 171071725120 is 21527170171.

171071725120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 61738334784 + 109333390336 = 248472^2 + 330656^2 .

It is not an unprimeable number, because it can be changed into a prime (171071725127) 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 3 ways as a sum of consecutive naturals, for example, 267299251 + ... + 267299890.

It is an arithmetic number, because the mean of its divisors is an integer number (14548733793).

Almost surely, 2^171071725120 is an apocalyptic number.

171071725120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

171071725120 is an abundant number, since it is smaller than the sum of its proper divisors (236292821084).

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

171071725120 is an equidigital number, since it uses as much as digits as its factorization.

171071725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534599158 (or 534599148 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 34.

Adding to 171071725120 its reverse (21527170171), we get a palindrome (192598895291).

The spelling of 171071725120 in words is "one hundred seventy-one billion, seventy-one million, seven hundred twenty-five thousand, one hundred twenty".