171283855680 has 672 divisors, whose sum is σ = 709237900800. Its totient is φ = 37093883904.

The previous prime is 171283855669. The next prime is 171283855681. The reversal of 171283855680 is 86558382171.

171283855680 is a `hidden beast` number, since 1 + 7 + 1 + 2 + 8 + 3 + 8 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171283855681) 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, 50539426 + ... + 50542814.

Almost surely, 2^171283855680 is an apocalyptic number.

171283855680 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 171283855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354618950400).

171283855680 is an abundant number, since it is smaller than the sum of its proper divisors (537954045120).

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

171283855680 is a wasteful number, since it uses less digits than its factorization.

171283855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3551 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 171283855680 in words is "one hundred seventy-one billion, two hundred eighty-three million, eight hundred fifty-five thousand, six hundred eighty".