171059442120 has 384 divisors, whose sum is σ = 661909248000. Its totient is φ = 37489029120.

The previous prime is 171059442119. The next prime is 171059442131. The reversal of 171059442120 is 21244950171.

171059442120 is a `hidden beast` number, since 1 + 7 + 1 + 0 + 594 + 42 + 1 + 20 = 666.

It is a super-2 number, since 2×171059442120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8505036 + ... + 8525124.

It is an arithmetic number, because the mean of its divisors is an integer number (1723722000).

Almost surely, 2^171059442120 is an apocalyptic number.

171059442120 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 171059442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330954624000).

171059442120 is an abundant number, since it is smaller than the sum of its proper divisors (490849805880).

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

171059442120 is a wasteful number, since it uses less digits than its factorization.

171059442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20253 (or 20246 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 171059442120 in words is "one hundred seventy-one billion, fifty-nine million, four hundred forty-two thousand, one hundred twenty".