86873347260 has 240 divisors, whose sum is σ = 311866484160. Its totient is φ = 19830666240.

The previous prime is 86873347259. The next prime is 86873347261. The reversal of 86873347260 is 6274337868.

86873347260 is a `hidden beast` number, since 8 + 6 + 87 + 33 + 472 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (86873347259) and next prime (86873347261).

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

It is a junction number, because it is equal to n+sod(n) for n = 86873347197 and 86873347206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86873347261) 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, 9396240 + ... + 9405480.

It is an arithmetic number, because the mean of its divisors is an integer number (1299443684).

Almost surely, 2^86873347260 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 86873347260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155933242080).

86873347260 is an abundant number, since it is smaller than the sum of its proper divisors (224993136900).

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

86873347260 is a wasteful number, since it uses less digits than its factorization.

86873347260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10098 (or 10087 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 86873347260 in words is "eighty-six billion, eight hundred seventy-three million, three hundred forty-seven thousand, two hundred sixty".