171121660800 has 384 divisors, whose sum is σ = 605950502400. Its totient is φ = 42308812800.

The previous prime is 171121660789. The next prime is 171121660817. The reversal of 171121660800 is 8066121171.

It is a happy number.

171121660800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8562820 + ... + 8582780.

It is an arithmetic number, because the mean of its divisors is an integer number (1577996100).

Almost surely, 2^171121660800 is an apocalyptic number.

171121660800 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 171121660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302975251200).

171121660800 is an abundant number, since it is smaller than the sum of its proper divisors (434828841600).

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

171121660800 is a wasteful number, since it uses less digits than its factorization.

171121660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20054 (or 20037 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

Adding to 171121660800 its reverse (8066121171), we get a palindrome (179187781971).

The spelling of 171121660800 in words is "one hundred seventy-one billion, one hundred twenty-one million, six hundred sixty thousand, eight hundred".