171971112960 has 520 divisors, whose sum is σ = 624399930000. Its totient is φ = 45270171648.

The previous prime is 171971112947. The next prime is 171971112977. The reversal of 171971112960 is 69211179171.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 137686416 + ... + 137687664.

Almost surely, 2^171971112960 is an apocalyptic number.

171971112960 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 171971112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312199965000).

171971112960 is an abundant number, since it is smaller than the sum of its proper divisors (452428817040).

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

171971112960 is an equidigital number, since it uses as much as digits as its factorization.

171971112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 45.

The spelling of 171971112960 in words is "one hundred seventy-one billion, nine hundred seventy-one million, one hundred twelve thousand, nine hundred sixty".