86667919116912 has 640 divisors, whose sum is σ = 295587938304000. Its totient is φ = 23791748198400.

The previous prime is 86667919116899. The next prime is 86667919117007. The reversal of 86667919116912 is 21961191976668.

It is a super-2 number, since 2×86667919116912² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9794087464 + ... + 9794096312.

It is an arithmetic number, because the mean of its divisors is an integer number (461856153600).

Almost surely, 2^{86667919116912} 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 86667919116912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147793969152000).

86667919116912 is an abundant number, since it is smaller than the sum of its proper divisors (208920019187088).

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

86667919116912 is a wasteful number, since it uses less digits than its factorization.

86667919116912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9642 (or 9630 counting only the distinct ones).

The product of its digits is 105815808, while the sum is 72.

The spelling of 86667919116912 in words is "eighty-six trillion, six hundred sixty-seven billion, nine hundred nineteen million, one hundred sixteen thousand, nine hundred twelve".