863685080586368 has 128 divisors (see below), whose sum is σ = 1771158723868800. Its totient is φ = 419344200253440.

The previous prime is 863685080586347. The next prime is 863685080586467.

863685080586368 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 863685080586292 and 863685080586301.

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, 4304185496 + ... + 4304386152.

It is an arithmetic number, because the mean of its divisors is an integer number (13837177530225).

Almost surely, 2^{863685080586368} 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 863685080586368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885579361934400).

863685080586368 is an abundant number, since it is smaller than the sum of its proper divisors (907473643282432).

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

863685080586368 is a wasteful number, since it uses less digits than its factorization.

863685080586368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207878 (or 207866 counting only the distinct ones).

The product of its (nonzero) digits is 9555148800, while the sum is 80.

The spelling of 863685080586368 in words is "eight hundred sixty-three trillion, six hundred eighty-five billion, eighty million, five hundred eighty-six thousand, three hundred sixty-eight".