8260217256768 has 112 divisors (see below), whose sum is σ = 23019230568000. Its totient is φ = 2606924832768.

The previous prime is 8260217256737. The next prime is 8260217256773. The reversal of 8260217256768 is 8676527120628.

It is a super-3 number, since 3×8260217256768³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5410168 + ... + 6766856.

Almost surely, 2^{8260217256768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8260217256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11509615284000).

8260217256768 is an abundant number, since it is smaller than the sum of its proper divisors (14759013311232).

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

8260217256768 is a wasteful number, since it uses less digits than its factorization.

8260217256768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358392 (or 1358382 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 8260217256768 in words is "eight trillion, two hundred sixty billion, two hundred seventeen million, two hundred fifty-six thousand, seven hundred sixty-eight".