171006006540096 has 672 divisors, whose sum is σ = 626417358694400. Its totient is φ = 43645560791040.

The previous prime is 171006006540077. The next prime is 171006006540121. The reversal of 171006006540096 is 690045600600171.

171006006540096 is a `hidden beast` number, since 1 + 7 + 10 + 0 + 6 + 0 + 0 + 6 + 540 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

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, 274296060 + ... + 274918788.

Almost surely, 2^{171006006540096} is an apocalyptic number.

171006006540096 is a gapful number since it is divisible by the number (16) 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 171006006540096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313208679347200).

171006006540096 is an abundant number, since it is smaller than the sum of its proper divisors (455411352154304).

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

171006006540096 is a wasteful number, since it uses less digits than its factorization.

171006006540096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622824 (or 622785 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 171006006540096 in words is "one hundred seventy-one trillion, six billion, six million, five hundred forty thousand, ninety-six".