86328864727200 has 216 divisors, whose sum is σ = 308704726695456. Its totient is φ = 22696790592000.

The previous prime is 86328864727177. The next prime is 86328864727201. The reversal of 86328864727200 is 272746882368.

86328864727200 is a `hidden beast` number, since 8 + 6 + 328 + 86 + 4 + 7 + 27 + 200 = 666.

It is not an unprimeable number, because it can be changed into a prime (86328864727201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83926266 + ... + 84948665.

It is an arithmetic number, because the mean of its divisors is an integer number (1429188549516).

Almost surely, 2^{86328864727200} is an apocalyptic number.

86328864727200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86328864727200 is an abundant number, since it is smaller than the sum of its proper divisors (222375861968256).

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

86328864727200 is a wasteful number, since it uses less digits than its factorization.

86328864727200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168875028 (or 168875012 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 86328864727200 in words is "eighty-six trillion, three hundred twenty-eight billion, eight hundred sixty-four million, seven hundred twenty-seven thousand, two hundred".