285856064000 has 640 divisors, whose sum is σ = 820409990400. Its totient is φ = 99057254400.

The previous prime is 285856063993. The next prime is 285856064059. The reversal of 285856064000 is 460658582.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 2671551947 + ... + 2671552053.

It is an arithmetic number, because the mean of its divisors is an integer number (1281890610).

Almost surely, 2^285856064000 is an apocalyptic number.

285856064000 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 285856064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410204995200).

285856064000 is an abundant number, since it is smaller than the sum of its proper divisors (534553926400).

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

285856064000 is an equidigital number, since it uses as much as digits as its factorization.

285856064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 285856064000 in words is "two hundred eighty-five billion, eight hundred fifty-six million, sixty-four thousand".