171200064000 has 1280 divisors, whose sum is σ = 705966243840. Its totient is φ = 35920281600.

The previous prime is 171200063963. The next prime is 171200064029. The reversal of 171200064000 is 460002171.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1348031937 + ... + 1348032063.

It is an arithmetic number, because the mean of its divisors is an integer number (551536128).

Almost surely, 2^171200064000 is an apocalyptic number.

171200064000 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 171200064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352983121920).

171200064000 is an abundant number, since it is smaller than the sum of its proper divisors (534766179840).

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

171200064000 is a wasteful number, since it uses less digits than its factorization.

171200064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 171200064000 its reverse (460002171), we get a palindrome (171660066171).

The spelling of 171200064000 in words is "one hundred seventy-one billion, two hundred million, sixty-four thousand".