171728639120 has 40 divisors (see below), whose sum is σ = 412148739840. Its totient is φ = 66475601280.

The previous prime is 171728639111. The next prime is 171728639129. The reversal of 171728639120 is 21936827171.

171728639120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (171728639111) and next prime (171728639129).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (171728639129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34620230 + ... + 34625189.

It is an arithmetic number, because the mean of its divisors is an integer number (10303718496).

Almost surely, 2^171728639120 is an apocalyptic number.

171728639120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

171728639120 is an abundant number, since it is smaller than the sum of its proper divisors (240420100720).

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

171728639120 is a wasteful number, since it uses less digits than its factorization.

171728639120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69245463 (or 69245457 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 47.

The spelling of 171728639120 in words is "one hundred seventy-one billion, seven hundred twenty-eight million, six hundred thirty-nine thousand, one hundred twenty".