171984802080 has 1152 divisors, whose sum is σ = 706725347328. Its totient is φ = 34822545408.

The previous prime is 171984802039. The next prime is 171984802097. The reversal of 171984802080 is 80208489171.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1354210977 + ... + 1354211103.

It is an arithmetic number, because the mean of its divisors is an integer number (613476864).

Almost surely, 2^171984802080 is an apocalyptic number.

171984802080 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 171984802080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353362673664).

171984802080 is an abundant number, since it is smaller than the sum of its proper divisors (534740545248).

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

171984802080 is a wasteful number, since it uses less digits than its factorization.

171984802080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The spelling of 171984802080 in words is "one hundred seventy-one billion, nine hundred eighty-four million, eight hundred two thousand, eighty".