86270008460 has 72 divisors (see below), whose sum is σ = 192578801184. Its totient is φ = 32456519680.

The previous prime is 86270008457. The next prime is 86270008483. The reversal of 86270008460 is 6480007268.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10671620 + ... + 10679700.

It is an arithmetic number, because the mean of its divisors is an integer number (2674705572).

Almost surely, 2^86270008460 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 86270008460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96289400592).

86270008460 is an abundant number, since it is smaller than the sum of its proper divisors (106308792724).

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

86270008460 is a wasteful number, since it uses less digits than its factorization.

86270008460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9971 (or 9952 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 86270008460 in words is "eighty-six billion, two hundred seventy million, eight thousand, four hundred sixty".