285225304000 has 448 divisors, whose sum is σ = 892947444480. Its totient is φ = 87821107200.

The previous prime is 285225303973. The next prime is 285225304031. The reversal of 285225304000 is 403522582.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26930706 + ... + 26941294.

It is an arithmetic number, because the mean of its divisors is an integer number (1993186260).

Almost surely, 2^285225304000 is an apocalyptic number.

285225304000 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 285225304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446473722240).

285225304000 is an abundant number, since it is smaller than the sum of its proper divisors (607722140480).

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

285225304000 is a wasteful number, since it uses less digits than its factorization.

285225304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10673 (or 10653 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 285225304000 its reverse (403522582), we get a palindrome (285628826582).

The spelling of 285225304000 in words is "two hundred eighty-five billion, two hundred twenty-five million, three hundred four thousand".