86268328300 has 144 divisors (see below), whose sum is σ = 240924579840. Its totient is φ = 26021376000.

The previous prime is 86268328283. The next prime is 86268328319. The reversal of 86268328300 is 382386268.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57996 + ... + 419404.

It is an arithmetic number, because the mean of its divisors is an integer number (1673087360).

Almost surely, 2^86268328300 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 86268328300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120462289920).

86268328300 is an abundant number, since it is smaller than the sum of its proper divisors (154656251540).

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

86268328300 is a wasteful number, since it uses less digits than its factorization.

86268328300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361472 (or 361465 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 86268328300 in words is "eighty-six billion, two hundred sixty-eight million, three hundred twenty-eight thousand, three hundred".