171042873910272 has 1056 divisors, whose sum is σ = 643272049190400. Its totient is φ = 44491926011904.

The previous prime is 171042873910241. The next prime is 171042873910283. The reversal of 171042873910272 is 272019378240171.

171042873910272 is a `hidden beast` number, since 1 + 7 + 1 + 0 + 4 + 287 + 3 + 91 + 0 + 272 = 666.

It is a super-2 number, since 2×171042873910272² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1285593129 + ... + 1285726167.

Almost surely, 2^{171042873910272} is an apocalyptic number.

171042873910272 is a gapful number since it is divisible by the number (12) 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 171042873910272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321636024595200).

171042873910272 is an abundant number, since it is smaller than the sum of its proper divisors (472229175280128).

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

171042873910272 is a wasteful number, since it uses less digits than its factorization.

171042873910272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133168 (or 133137 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 171042873910272 in words is "one hundred seventy-one trillion, forty-two billion, eight hundred seventy-three million, nine hundred ten thousand, two hundred seventy-two".