17128690000 has 200 divisors, whose sum is σ = 46229451840. Its totient is φ = 6107904000.

The previous prime is 17128689989. The next prime is 17128690013. The reversal of 17128690000 is 9682171.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×17128690000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3227349 + ... + 3232651.

Almost surely, 2^17128690000 is an apocalyptic number.

17128690000 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 17128690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23114725920).

17128690000 is an abundant number, since it is smaller than the sum of its proper divisors (29100761840).

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

17128690000 is a wasteful number, since it uses less digits than its factorization.

17128690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The spelling of 17128690000 in words is "seventeen billion, one hundred twenty-eight million, six hundred ninety thousand".