284985520560 has 640 divisors, whose sum is σ = 1081100805120. Its totient is φ = 69435325440.

The previous prime is 284985520553. The next prime is 284985520733. The reversal of 284985520560 is 65025589482.

284985520560 is a `hidden beast` number, since 2 + 8 + 4 + 9 + 8 + 55 + 20 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 284985520497 and 284985520506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 243368775 + ... + 243369945.

It is an arithmetic number, because the mean of its divisors is an integer number (1689220008).

Almost surely, 2^284985520560 is an apocalyptic number.

284985520560 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 284985520560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540550402560).

284985520560 is an abundant number, since it is smaller than the sum of its proper divisors (796115284560).

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

284985520560 is a wasteful number, since it uses less digits than its factorization.

284985520560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 284985520560 in words is "two hundred eighty-four billion, nine hundred eighty-five million, five hundred twenty thousand, five hundred sixty".