171265798241280 has 880 divisors, whose sum is σ = 646318975610880. Its totient is φ = 43247184740352.

The previous prime is 171265798241267. The next prime is 171265798241327. The reversal of 171265798241280 is 82142897562171.

171265798241280 is a `hidden beast` number, since 1 + 7 + 1 + 2 + 6 + 57 + 98 + 2 + 412 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24954943129 + ... + 24954949991.

It is an arithmetic number, because the mean of its divisors is an integer number (734453381376).

Almost surely, 2^{171265798241280} is an apocalyptic number.

171265798241280 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 171265798241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323159487805440).

171265798241280 is an abundant number, since it is smaller than the sum of its proper divisors (475053177369600).

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

171265798241280 is a wasteful number, since it uses less digits than its factorization.

171265798241280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10086 (or 10059 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 171265798241280 in words is "one hundred seventy-one trillion, two hundred sixty-five billion, seven hundred ninety-eight million, two hundred forty-one thousand, two hundred eighty".