86812686601200 has 2880 divisors, whose sum is σ = 387150907613184. Its totient is φ = 17557585920000.

The previous prime is 86812686601171. The next prime is 86812686601241. The reversal of 86812686601200 is 210668621868.

86812686601200 is a `hidden beast` number, since 8 + 6 + 8 + 1 + 2 + 6 + 8 + 6 + 601 + 20 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 160467072930 + ... + 160467073470.

Almost surely, 2^{86812686601200} is an apocalyptic number.

86812686601200 is a gapful number since it is divisible by the number (80) 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 86812686601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193575453806592).

86812686601200 is an abundant number, since it is smaller than the sum of its proper divisors (300338221011984).

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

86812686601200 is a wasteful number, since it uses less digits than its factorization.

86812686601200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 86812686601200 in words is "eighty-six trillion, eight hundred twelve billion, six hundred eighty-six million, six hundred one thousand, two hundred".