285080664960 has 2304 divisors, whose sum is σ = 1358574197760. Its totient is φ = 53643313152.

The previous prime is 285080664931. The next prime is 285080665003. The reversal of 285080664960 is 69466080582.

It is a happy number.

285080664960 is a `hidden beast` number, since 28 + 50 + 80 + 6 + 6 + 496 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 285080664897 and 285080664906.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 2664305227 + ... + 2664305333.

It is an arithmetic number, because the mean of its divisors is an integer number (589658940).

Almost surely, 2^285080664960 is an apocalyptic number.

285080664960 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 285080664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679287098880).

285080664960 is an abundant number, since it is smaller than the sum of its proper divisors (1073493532800).

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

285080664960 is a wasteful number, since it uses less digits than its factorization.

285080664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 285080664960 in words is "two hundred eighty-five billion, eighty million, six hundred sixty-four thousand, nine hundred sixty".