86206015131200 has 168 divisors, whose sum is σ = 224460832337280. Its totient is φ = 32518618316800.

The previous prime is 86206015131199. The next prime is 86206015131221. The reversal of 86206015131200 is 213151060268.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13884065 + ... + 19109664.

It is an arithmetic number, because the mean of its divisors is an integer number (1336076382960).

Almost surely, 2^{86206015131200} is an apocalyptic number.

86206015131200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86206015131200 is an abundant number, since it is smaller than the sum of its proper divisors (138254817206080).

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

86206015131200 is a wasteful number, since it uses less digits than its factorization.

86206015131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32993845 (or 32993830 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

Adding to 86206015131200 its reverse (213151060268), we get a palindrome (86419166191468).

The spelling of 86206015131200 in words is "eighty-six trillion, two hundred six billion, fifteen million, one hundred thirty-one thousand, two hundred".