171057384960 has 1440 divisors, whose sum is σ = 733744573056. Its totient is φ = 33597849600.

The previous prime is 171057384941. The next prime is 171057385013. The reversal of 171057384960 is 69483750171.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3978078699 + ... + 3978078741.

Almost surely, 2^171057384960 is an apocalyptic number.

171057384960 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 171057384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366872286528).

171057384960 is an abundant number, since it is smaller than the sum of its proper divisors (562687188096).

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

171057384960 is a wasteful number, since it uses less digits than its factorization.

171057384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 171057384960 in words is "one hundred seventy-one billion, fifty-seven million, three hundred eighty-four thousand, nine hundred sixty".