17107009920 has 2048 divisors, whose sum is σ = 86858956800. Its totient is φ = 3065610240.

The previous prime is 17107009889. The next prime is 17107009987. The reversal of 17107009920 is 2990070171.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 397837419 + ... + 397837461.

It is an arithmetic number, because the mean of its divisors is an integer number (42411600).

Almost surely, 2^17107009920 is an apocalyptic number.

17107009920 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 17107009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43429478400).

17107009920 is an abundant number, since it is smaller than the sum of its proper divisors (69751946880).

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

17107009920 is a wasteful number, since it uses less digits than its factorization.

17107009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The spelling of 17107009920 in words is "seventeen billion, one hundred seven million, nine thousand, nine hundred twenty".