17116416240 has 320 divisors, whose sum is σ = 66291471360. Its totient is φ = 3549265920.

The previous prime is 17116416227. The next prime is 17116416241. The reversal of 17116416240 is 4261461171.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17116416241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17167422 + ... + 17168418.

It is an arithmetic number, because the mean of its divisors is an integer number (207160848).

Almost surely, 2^17116416240 is an apocalyptic number.

17116416240 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 17116416240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33145735680).

17116416240 is an abundant number, since it is smaller than the sum of its proper divisors (49175055120).

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

17116416240 is a wasteful number, since it uses less digits than its factorization.

17116416240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 17116416240 in words is "seventeen billion, one hundred sixteen million, four hundred sixteen thousand, two hundred forty".