86817386304 has 560 divisors, whose sum is σ = 296875687680. Its totient is φ = 24838410240.

The previous prime is 86817386291. The next prime is 86817386317. The reversal of 86817386304 is 40368371868.

It is an interprime number because it is at equal distance from previous prime (86817386291) and next prime (86817386317).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77723154 + ... + 77724270.

Almost surely, 2^86817386304 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 86817386304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148437843840).

86817386304 is an abundant number, since it is smaller than the sum of its proper divisors (210058301376).

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

86817386304 is a wasteful number, since it uses less digits than its factorization.

86817386304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 86817386304 in words is "eighty-six billion, eight hundred seventeen million, three hundred eighty-six thousand, three hundred four".