286868200000 has 336 divisors, whose sum is σ = 760046353920. Its totient is φ = 107043840000.

The previous prime is 286868199971. The next prime is 286868200009. The reversal of 286868200000 is 2868682.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (286868200009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472599697 + ... + 472600303.

It is an arithmetic number, because the mean of its divisors is an integer number (2262042720).

Almost surely, 2^286868200000 is an apocalyptic number.

286868200000 is a gapful number since it is divisible by the number (20) 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 286868200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380023176960).

286868200000 is an abundant number, since it is smaller than the sum of its proper divisors (473178153920).

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

286868200000 is an equidigital number, since it uses as much as digits as its factorization.

286868200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

286868200000 divided by its reverse (2868682) gives a 5-th power (100000 = 10⁵).

The spelling of 286868200000 in words is "two hundred eighty-six billion, eight hundred sixty-eight million, two hundred thousand".