286112288880 has 1600 divisors, whose sum is σ = 1240602739200. Its totient is φ = 60406456320.

The previous prime is 286112288867. The next prime is 286112288887. The reversal of 286112288880 is 88882211682.

286112288880 is a `hidden beast` number, since 286 + 1 + 1 + 2 + 288 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286112288887) 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 319 ways as a sum of consecutive naturals, for example, 6653774139 + ... + 6653774181.

It is an arithmetic number, because the mean of its divisors is an integer number (775376712).

Almost surely, 2^286112288880 is an apocalyptic number.

286112288880 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 286112288880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620301369600).

286112288880 is an abundant number, since it is smaller than the sum of its proper divisors (954490450320).

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

286112288880 is a wasteful number, since it uses less digits than its factorization.

286112288880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 54.

The spelling of 286112288880 in words is "two hundred eighty-six billion, one hundred twelve million, two hundred eighty-eight thousand, eight hundred eighty".