86178012012 has 72 divisors (see below), whose sum is σ = 223530587280. Its totient is φ = 27977825280.

The previous prime is 86178011977. The next prime is 86178012013. The reversal of 86178012012 is 21021087168.

86178012012 is a `hidden beast` number, since 8 + 617 + 8 + 0 + 1 + 20 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86178012013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826039 + ... + 924497.

It is an arithmetic number, because the mean of its divisors is an integer number (3104591490).

Almost surely, 2^86178012012 is an apocalyptic number.

86178012012 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86178012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111765293640).

86178012012 is an abundant number, since it is smaller than the sum of its proper divisors (137352575268).

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

86178012012 is a wasteful number, since it uses less digits than its factorization.

86178012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99103 (or 99098 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 86178012012 in words is "eighty-six billion, one hundred seventy-eight million, twelve thousand, twelve".