171011505046080 has 224 divisors, whose sum is σ = 549862305546240. Its totient is φ = 45023533701120.

The previous prime is 171011505046073. The next prime is 171011505046103. The reversal of 171011505046080 is 80640505110171.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1925609037 + ... + 1925697843.

Almost surely, 2^{171011505046080} is an apocalyptic number.

171011505046080 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 171011505046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274931152773120).

171011505046080 is an abundant number, since it is smaller than the sum of its proper divisors (378850800500160).

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

171011505046080 is a wasteful number, since it uses less digits than its factorization.

171011505046080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114297 (or 114287 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 39.

The spelling of 171011505046080 in words is "one hundred seventy-one trillion, eleven billion, five hundred five million, forty-six thousand, eighty".