17116968120 has 384 divisors, whose sum is σ = 63488059200. Its totient is φ = 3674087424.

The previous prime is 17116968119. The next prime is 17116968131. The reversal of 17116968120 is 2186961171.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6307884 + ... + 6310596.

Almost surely, 2^17116968120 is an apocalyptic number.

17116968120 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 17116968120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31744029600).

17116968120 is an abundant number, since it is smaller than the sum of its proper divisors (46371091080).

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

17116968120 is a wasteful number, since it uses less digits than its factorization.

17116968120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The spelling of 17116968120 in words is "seventeen billion, one hundred sixteen million, nine hundred sixty-eight thousand, one hundred twenty".