86131043719200 has 108 divisors (see below), whose sum is σ = 303719592940218. Its totient is φ = 22968278323200.

The previous prime is 86131043719169. The next prime is 86131043719223. The reversal of 86131043719200 is 291734013168.

86131043719200 is a `hidden beast` number, since 8 + 6 + 1 + 3 + 1 + 0 + 437 + 1 + 9 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 76077400839696 + 10053642879504 = 8722236^2 + 3170748^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5981315281 + ... + 5981329680.

Almost surely, 2^{86131043719200} is an apocalyptic number.

86131043719200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86131043719200 is an abundant number, since it is smaller than the sum of its proper divisors (217588549221018).

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

86131043719200 is a wasteful number, since it uses less digits than its factorization.

86131043719200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11962644987 (or 11962644971 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 86131043719200 in words is "eighty-six trillion, one hundred thirty-one billion, forty-three million, seven hundred nineteen thousand, two hundred".