86351926864 has 80 divisors (see below), whose sum is σ = 202856857600. Its totient is φ = 34784007552.

The previous prime is 86351926849. The next prime is 86351926877. The reversal of 86351926864 is 46862915368.

It is a junction number, because it is equal to n+sod(n) for n = 86351926799 and 86351926808.

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, 110497 + ... + 430015.

It is an arithmetic number, because the mean of its divisors is an integer number (2535710720).

Almost surely, 2^86351926864 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 86351926864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101428428800).

86351926864 is an abundant number, since it is smaller than the sum of its proper divisors (116504930736).

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

86351926864 is a wasteful number, since it uses less digits than its factorization.

86351926864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319680 (or 319674 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 58.

The spelling of 86351926864 in words is "eighty-six billion, three hundred fifty-one million, nine hundred twenty-six thousand, eight hundred sixty-four".