17117685801216 has 3240 divisors, whose sum is σ = 71272287018240. Its totient is φ = 3996679864320.

The previous prime is 17117685801199. The next prime is 17117685801239. The reversal of 17117685801216 is 61210858671171.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 216679567065 + ... + 216679567143.

Almost surely, 2^{17117685801216} is an apocalyptic number.

17117685801216 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 17117685801216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35636143509120).

17117685801216 is an abundant number, since it is smaller than the sum of its proper divisors (54154601217024).

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

17117685801216 is a wasteful number, since it uses less digits than its factorization.

17117685801216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 54.

The spelling of 17117685801216 in words is "seventeen trillion, one hundred seventeen billion, six hundred eighty-five million, eight hundred one thousand, two hundred sixteen".