285032016000 has 768 divisors, whose sum is σ = 1069739255520. Its totient is φ = 72658944000.

The previous prime is 285032015999. The next prime is 285032016089. The reversal of 285032016000 is 610230582.

285032016000 is a `hidden beast` number, since 2 + 8 + 50 + 3 + 2 + 0 + 1 + 600 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2765077056 + 282266938944 = 52584^2 + 531288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 325007562 + ... + 325008438.

Almost surely, 2^285032016000 is an apocalyptic number.

285032016000 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 285032016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534869627760).

285032016000 is an abundant number, since it is smaller than the sum of its proper divisors (784707239520).

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

285032016000 is a wasteful number, since it uses less digits than its factorization.

285032016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 285032016000 its reverse (610230582), we get a palindrome (285642246582).

The spelling of 285032016000 in words is "two hundred eighty-five billion, thirty-two million, sixteen thousand".