285424794436320 has 576 divisors, whose sum is σ = 1216987150579200. Its totient is φ = 59180384563200.

The previous prime is 285424794436283. The next prime is 285424794436333. The reversal of 285424794436320 is 23634497424582.

285424794436320 is a `hidden beast` number, since 2 + 8 + 5 + 4 + 247 + 9 + 4 + 4 + 363 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48323731 + ... + 53907629.

It is an arithmetic number, because the mean of its divisors is an integer number (2112824914200).

Almost surely, 2^{285424794436320} is an apocalyptic number.

285424794436320 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 285424794436320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608493575289600).

285424794436320 is an abundant number, since it is smaller than the sum of its proper divisors (931562356142880).

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

285424794436320 is a wasteful number, since it uses less digits than its factorization.

285424794436320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5584399 (or 5584388 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 63.

The spelling of 285424794436320 in words is "two hundred eighty-five trillion, four hundred twenty-four billion, seven hundred ninety-four million, four hundred thirty-six thousand, three hundred twenty".