86684712820992 has 4608 divisors, whose sum is σ = 352468537344000. Its totient is φ = 20570324336640.

The previous prime is 86684712820987. The next prime is 86684712821017. The reversal of 86684712820992 is 29902821748668.

86684712820992 is a `hidden beast` number, since 8 + 6 + 68 + 471 + 2 + 8 + 2 + 0 + 9 + 92 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 86684712820992.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 795272594634 + ... + 795272594742.

It is an arithmetic number, because the mean of its divisors is an integer number (76490568000).

Almost surely, 2^{86684712820992} 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 86684712820992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176234268672000).

86684712820992 is an abundant number, since it is smaller than the sum of its proper divisors (265783824523008).

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

86684712820992 is a wasteful number, since it uses less digits than its factorization.

86684712820992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 86684712820992 in words is "eighty-six trillion, six hundred eighty-four billion, seven hundred twelve million, eight hundred twenty thousand, nine hundred ninety-two".