8286719867712 has 560 divisors, whose sum is σ = 28941582301632. Its totient is φ = 2311324139520.

The previous prime is 8286719867711. The next prime is 8286719867719. The reversal of 8286719867712 is 2177689176828.

It is a super-2 number, since 2×8286719867712² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8286719867711) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 261667303 + ... + 261698969.

Almost surely, 2^{8286719867712} 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 8286719867712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14470791150816).

8286719867712 is an abundant number, since it is smaller than the sum of its proper divisors (20654862433920).

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

8286719867712 is a wasteful number, since it uses less digits than its factorization.

8286719867712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32068 (or 32049 counting only the distinct ones).

The product of its digits is 227598336, while the sum is 72.

The spelling of 8286719867712 in words is "eight trillion, two hundred eighty-six billion, seven hundred nineteen million, eight hundred sixty-seven thousand, seven hundred twelve".