17009980416 has 264 divisors, whose sum is σ = 57707124384. Its totient is φ = 4757667840.

The previous prime is 17009980391. The next prime is 17009980459. The reversal of 17009980416 is 61408990071.

It is a happy number.

17009980416 is a `hidden beast` number, since 1 + 70 + 0 + 99 + 80 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1311435 + ... + 1324341.

Almost surely, 2^17009980416 is an apocalyptic number.

17009980416 is a gapful number since it is divisible by the number (16) 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 17009980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28853562192).

17009980416 is an abundant number, since it is smaller than the sum of its proper divisors (40697143968).

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

17009980416 is a wasteful number, since it uses less digits than its factorization.

17009980416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12957 (or 12936 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 17009980416 in words is "seventeen billion, nine million, nine hundred eighty thousand, four hundred sixteen".