17106983952 has 120 divisors (see below), whose sum is σ = 46014920928. Its totient is φ = 5476078080.

The previous prime is 17106983911. The next prime is 17106983981. The reversal of 17106983952 is 25938960171.

It is a super-3 number, since 3×17106983952³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 17106983895 and 17106983904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6318183 + ... + 6320889.

Almost surely, 2^17106983952 is an apocalyptic number.

17106983952 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 17106983952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23007460464).

17106983952 is an abundant number, since it is smaller than the sum of its proper divisors (28907936976).

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

17106983952 is a wasteful number, since it uses less digits than its factorization.

17106983952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 17106983952 in words is "seventeen billion, one hundred six million, nine hundred eighty-three thousand, nine hundred fifty-two".