286288066080 has 72 divisors (see below), whose sum is σ = 976958030412. Its totient is φ = 76343483904.

The previous prime is 286288066067. The next prime is 286288066087. The reversal of 286288066080 is 80660882682.

286288066080 is a `hidden beast` number, since 2 + 8 + 6 + 28 + 8 + 0 + 6 + 608 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 234298593936 + 51989472144 = 484044^2 + 228012^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (286288066087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99404139 + ... + 99407018.

Almost surely, 2^286288066080 is an apocalyptic number.

286288066080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286288066080 is an abundant number, since it is smaller than the sum of its proper divisors (690669964332).

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

286288066080 is a wasteful number, since it uses less digits than its factorization.

286288066080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198811178 (or 198811167 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 286288066080 in words is "two hundred eighty-six billion, two hundred eighty-eight million, sixty-six thousand, eighty".