86785099058768 has 80 divisors (see below), whose sum is σ = 187284358033920. Its totient is φ = 38624666160000.

The previous prime is 86785099058761. The next prime is 86785099058807.

It is a happy number.

86785099058768 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 86785099058768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86785099058761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14042180 + ... + 19254947.

It is an arithmetic number, because the mean of its divisors is an integer number (2341054475424).

Almost surely, 2^{86785099058768} is an apocalyptic number.

86785099058768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86785099058768 is an abundant number, since it is smaller than the sum of its proper divisors (100499258975152).

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

86785099058768 is a wasteful number, since it uses less digits than its factorization.

86785099058768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33297456 (or 33297450 counting only the distinct ones).

The product of its (nonzero) digits is 14631321600, while the sum is 86.

The spelling of 86785099058768 in words is "eighty-six trillion, seven hundred eighty-five billion, ninety-nine million, fifty-eight thousand, seven hundred sixty-eight".