171160020000 has 480 divisors, whose sum is σ = 650991116160. Its totient is φ = 43655040000.

The previous prime is 171160019941. The next prime is 171160020029. The reversal of 171160020000 is 20061171.

171160020000 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 (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 79 ways as a sum of consecutive naturals, for example, 12413110 + ... + 12426890.

It is an arithmetic number, because the mean of its divisors is an integer number (1356231492).

Almost surely, 2^171160020000 is an apocalyptic number.

171160020000 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 171160020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325495558080).

171160020000 is an abundant number, since it is smaller than the sum of its proper divisors (479831096160).

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

171160020000 is a wasteful number, since it uses less digits than its factorization.

171160020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13843 (or 13814 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 171160020000 its reverse (20061171), we get a palindrome (171180081171).

The spelling of 171160020000 in words is "one hundred seventy-one billion, one hundred sixty million, twenty thousand".