8286868800 has 504 divisors, whose sum is σ = 33902294400. Its totient is φ = 1880616960.

The previous prime is 8286868787. The next prime is 8286868847. The reversal of 8286868800 is 88686828.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23083021 + ... + 23083379.

Almost surely, 2^8286868800 is an apocalyptic number.

8286868800 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 8286868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16951147200).

8286868800 is an abundant number, since it is smaller than the sum of its proper divisors (25615425600).

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

8286868800 is a wasteful number, since it uses less digits than its factorization.

8286868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The square root of 8286868800 is about 91032.2404426036. The cubic root of 8286868800 is about 2023.6255510850.

The spelling of 8286868800 in words is "eight billion, two hundred eighty-six million, eight hundred sixty-eight thousand, eight hundred".