171280048800 has 432 divisors, whose sum is σ = 650506489920. Its totient is φ = 39031050240.

The previous prime is 171280048783. The next prime is 171280048817. The reversal of 171280048800 is 8840082171.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (171280048783) and next prime (171280048817).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42216372 + ... + 42220428.

It is an arithmetic number, because the mean of its divisors is an integer number (1505802060).

Almost surely, 2^171280048800 is an apocalyptic number.

171280048800 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 171280048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325253244960).

171280048800 is an abundant number, since it is smaller than the sum of its proper divisors (479226441120).

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

171280048800 is a wasteful number, since it uses less digits than its factorization.

171280048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 39.

The spelling of 171280048800 in words is "one hundred seventy-one billion, two hundred eighty million, forty-eight thousand, eight hundred".