171275328000 has 960 divisors, whose sum is σ = 713411981568. Its totient is φ = 38685081600.

The previous prime is 171275327987. The next prime is 171275328001. The reversal of 171275328000 is 823572171.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (171275328001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 431423802 + ... + 431424198.

Almost surely, 2^171275328000 is an apocalyptic number.

171275328000 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 171275328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356705990784).

171275328000 is an abundant number, since it is smaller than the sum of its proper divisors (542136653568).

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

171275328000 is a wasteful number, since it uses less digits than its factorization.

171275328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 171275328000 in words is "one hundred seventy-one billion, two hundred seventy-five million, three hundred twenty-eight thousand".