17008670952 has 960 divisors, whose sum is σ = 66916523520. Its totient is φ = 3914625024.

The previous prime is 17008670951. The next prime is 17008670963. The reversal of 17008670952 is 25907680071.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 17008670898 and 17008670907.

It is not an unprimeable number, because it can be changed into a prime (17008670951) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 361886593 + ... + 361886639.

It is an arithmetic number, because the mean of its divisors is an integer number (69704712).

Almost surely, 2^17008670952 is an apocalyptic number.

17008670952 is a gapful number since it is divisible by the number (12) 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 17008670952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33458261760).

17008670952 is an abundant number, since it is smaller than the sum of its proper divisors (49907852568).

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

17008670952 is a wasteful number, since it uses less digits than its factorization.

17008670952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 17008670952 in words is "seventeen billion, eight million, six hundred seventy thousand, nine hundred fifty-two".