86197755779168 has 192 divisors, whose sum is σ = 197728465229568. Its totient is φ = 36555892408320.

The previous prime is 86197755779141. The next prime is 86197755779171.

86197755779168 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 86197755779168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316363571 + ... + 316635917.

It is an arithmetic number, because the mean of its divisors is an integer number (1029835756404).

Almost surely, 2^{86197755779168} is an apocalyptic number.

86197755779168 is a gapful number since it is divisible by the number (88) 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 86197755779168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98864232614784).

86197755779168 is an abundant number, since it is smaller than the sum of its proper divisors (111530709450400).

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

86197755779168 is a wasteful number, since it uses less digits than its factorization.

86197755779168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272845 (or 272837 counting only the distinct ones).

The product of its digits is 11202105600, while the sum is 86.

The spelling of 86197755779168 in words is "eighty-six trillion, one hundred ninety-seven billion, seven hundred fifty-five million, seven hundred seventy-nine thousand, one hundred sixty-eight".