171481663610880 has 448 divisors, whose sum is σ = 627204528184320. Its totient is φ = 39188942290944.

The previous prime is 171481663610809. The next prime is 171481663610891. The reversal of 171481663610880 is 88016366184171.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 6181956051 + ... + 6181983789.

Almost surely, 2^{171481663610880} is an apocalyptic number.

171481663610880 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 171481663610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313602264092160).

171481663610880 is an abundant number, since it is smaller than the sum of its proper divisors (455722864573440).

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

171481663610880 is an equidigital number, since it uses as much as digits as its factorization.

171481663610880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34967 (or 34943 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 171481663610880 in words is "one hundred seventy-one trillion, four hundred eighty-one billion, six hundred sixty-three million, six hundred ten thousand, eight hundred eighty".