286365120864 has 192 divisors, whose sum is σ = 807439933440. Its totient is φ = 88702248960.

The previous prime is 286365120829. The next prime is 286365120869. The reversal of 286365120864 is 468021563682.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286365120869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7393902 + ... + 7432530.

It is an arithmetic number, because the mean of its divisors is an integer number (4205416320).

Almost surely, 2^286365120864 is an apocalyptic number.

286365120864 is a gapful number since it is divisible by the number (24) 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 286365120864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403719966720).

286365120864 is an abundant number, since it is smaller than the sum of its proper divisors (521074812576).

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

286365120864 is a wasteful number, since it uses less digits than its factorization.

286365120864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38773 (or 38765 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 286365120864 in words is "two hundred eighty-six billion, three hundred sixty-five million, one hundred twenty thousand, eight hundred sixty-four".