171671287270920 has 128 divisors (see below), whose sum is σ = 522324419466240. Its totient is φ = 45129322945280.

The previous prime is 171671287270909. The next prime is 171671287270937. The reversal of 171671287270920 is 29072782176171.

It is a happy number.

It is a Cunningham number, because it is equal to 13102339²-1.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 31 ways as a sum of consecutive naturals, for example, 77522179 + ... + 79705901.

It is an arithmetic number, because the mean of its divisors is an integer number (4080659527080).

Almost surely, 2^{171671287270920} is an apocalyptic number.

171671287270920 is a gapful number since it is divisible by the number (10) 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 171671287270920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261162209733120).

171671287270920 is an abundant number, since it is smaller than the sum of its proper divisors (350653132195320).

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

171671287270920 is a wasteful number, since it uses less digits than its factorization.

171671287270920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193035 (or 2193031 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 60.

The spelling of 171671287270920 in words is "one hundred seventy-one trillion, six hundred seventy-one billion, two hundred eighty-seven million, two hundred seventy thousand, nine hundred twenty".