171191438880 has 1728 divisors, whose sum is σ = 758617767936. Its totient is φ = 31710412800.

The previous prime is 171191438867. The next prime is 171191438893. The reversal of 171191438880 is 88834191171.

171191438880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (171191438867) and next prime (171191438893).

It is a Harshad number since it is a multiple of its sum of digits (51).

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 287 ways as a sum of consecutive naturals, for example, 3642371017 + ... + 3642371063.

It is an arithmetic number, because the mean of its divisors is an integer number (439014912).

Almost surely, 2^171191438880 is an apocalyptic number.

171191438880 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 171191438880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379308883968).

171191438880 is an abundant number, since it is smaller than the sum of its proper divisors (587426329056).

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

171191438880 is a wasteful number, since it uses less digits than its factorization.

171191438880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 51.

The spelling of 171191438880 in words is "one hundred seventy-one billion, one hundred ninety-one million, four hundred thirty-eight thousand, eight hundred eighty".