86789225712 has 240 divisors, whose sum is σ = 266843745312. Its totient is φ = 24228771840.

The previous prime is 86789225711. The next prime is 86789225717. The reversal of 86789225712 is 21752298768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86789225711) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 22523178 + ... + 22527030.

Almost surely, 2^86789225712 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 86789225712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133421872656).

86789225712 is an abundant number, since it is smaller than the sum of its proper divisors (180054519600).

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

86789225712 is a wasteful number, since it uses less digits than its factorization.

86789225712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096 (or 4083 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 57.

The spelling of 86789225712 in words is "eighty-six billion, seven hundred eighty-nine million, two hundred twenty-five thousand, seven hundred twelve".