171864288960 has 448 divisors, whose sum is σ = 682623642624. Its totient is φ = 35665920000.

The previous prime is 171864288919. The next prime is 171864288977. The reversal of 171864288960 is 69882468171.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 171864288894 and 171864288903.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5312835 + ... + 5345085.

It is an arithmetic number, because the mean of its divisors is an integer number (1523713488).

Almost surely, 2^171864288960 is an apocalyptic number.

171864288960 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 171864288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341311821312).

171864288960 is an abundant number, since it is smaller than the sum of its proper divisors (510759353664).

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

171864288960 is a wasteful number, since it uses less digits than its factorization.

171864288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32352 (or 32342 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 171864288960 in words is "one hundred seventy-one billion, eight hundred sixty-four million, two hundred eighty-eight thousand, nine hundred sixty".