285386976000 has 1728 divisors, whose sum is σ = 1253518156800. Its totient is φ = 64621670400.

The previous prime is 285386975999. The next prime is 285386976011. The reversal of 285386976000 is 679683582.

It is a happy number.

285386976000 is a `hidden beast` number, since 28 + 5 + 3 + 8 + 6 + 9 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2667167947 + ... + 2667168053.

It is an arithmetic number, because the mean of its divisors is an integer number (725415600).

Almost surely, 2^285386976000 is an apocalyptic number.

285386976000 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 285386976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626759078400).

285386976000 is an abundant number, since it is smaller than the sum of its proper divisors (968131180800).

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

285386976000 is an frugal number, since it uses more digits than its factorization.

285386976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 285386976000 in words is "two hundred eighty-five billion, three hundred eighty-six million, nine hundred seventy-six thousand".