285228950814720 has 3264 divisors, whose sum is σ = 1208277489216000. Its totient is φ = 63568493936640.

The previous prime is 285228950814659. The next prime is 285228950814761. The reversal of 285228950814720 is 27418059822582.

285228950814720 is a `hidden beast` number, since 2 + 8 + 5 + 2 + 2 + 89 + 5 + 0 + 81 + 472 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 752582983491 + ... + 752582983869.

Almost surely, 2^{285228950814720} is an apocalyptic number.

285228950814720 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 285228950814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604138744608000).

285228950814720 is an abundant number, since it is smaller than the sum of its proper divisors (923048538401280).

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

285228950814720 is a wasteful number, since it uses less digits than its factorization.

285228950814720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 285228950814720 in words is "two hundred eighty-five trillion, two hundred twenty-eight billion, nine hundred fifty million, eight hundred fourteen thousand, seven hundred twenty".