86820844460 has 96 divisors (see below), whose sum is σ = 210586521600. Its totient is φ = 29451045888.

The previous prime is 86820844459. The next prime is 86820844469. The reversal of 86820844460 is 6444802868.

It is a junction number, because it is equal to n+sod(n) for n = 86820844399 and 86820844408.

It is not an unprimeable number, because it can be changed into a prime (86820844469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21440516 + ... + 21444564.

It is an arithmetic number, because the mean of its divisors is an integer number (2193609600).

Almost surely, 2^86820844460 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 86820844460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105293260800).

86820844460 is an abundant number, since it is smaller than the sum of its proper divisors (123765677140).

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

86820844460 is a wasteful number, since it uses less digits than its factorization.

86820844460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5655 (or 5653 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 50.

The spelling of 86820844460 in words is "eighty-six billion, eight hundred twenty million, eight hundred forty-four thousand, four hundred sixty".