86783814912 has 144 divisors (see below), whose sum is σ = 241758171648. Its totient is φ = 27584747520.

The previous prime is 86783814877. The next prime is 86783814961. The reversal of 86783814912 is 21941838768.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5839363 + ... + 5854205.

It is an arithmetic number, because the mean of its divisors is an integer number (1678876192).

Almost surely, 2^86783814912 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 86783814912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120879085824).

86783814912 is an abundant number, since it is smaller than the sum of its proper divisors (154974356736).

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

86783814912 is a wasteful number, since it uses less digits than its factorization.

86783814912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15216 (or 15202 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 57.

The spelling of 86783814912 in words is "eighty-six billion, seven hundred eighty-three million, eight hundred fourteen thousand, nine hundred twelve".