17138795520 has 704 divisors, whose sum is σ = 70140635136. Its totient is φ = 3468165120.

The previous prime is 17138795491. The next prime is 17138795537. The reversal of 17138795520 is 2559783171.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 17138795520.

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, 50856792 + ... + 50857128.

It is an arithmetic number, because the mean of its divisors is an integer number (99631584).

Almost surely, 2^17138795520 is an apocalyptic number.

17138795520 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 17138795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35070317568).

17138795520 is an abundant number, since it is smaller than the sum of its proper divisors (53001839616).

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

17138795520 is a wasteful number, since it uses less digits than its factorization.

17138795520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 48.

The spelling of 17138795520 in words is "seventeen billion, one hundred thirty-eight million, seven hundred ninety-five thousand, five hundred twenty".