17004160000 has 165 divisors, whose sum is σ = 42738234231. Its totient is φ = 6759936000.

The previous prime is 17004159973. The next prime is 17004160031. The reversal of 17004160000 is 6140071.

It is a happy number.

The square root of 17004160000 is 130400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1333126144 + 15671033856 = 36512^2 + 125184^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 17004160000.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 104319919 + ... + 104320081.

Almost surely, 2^17004160000 is an apocalyptic number.

17004160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

17004160000 is the 130400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17004160000

17004160000 is an abundant number, since it is smaller than the sum of its proper divisors (25734074231).

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

17004160000 is an frugal number, since it uses more digits than its factorization.

17004160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The spelling of 17004160000 in words is "seventeen billion, four million, one hundred sixty thousand".