285085642842 has 576 divisors, whose sum is σ = 897474090240. Its totient is φ = 63116236800.

The previous prime is 285085642841. The next prime is 285085642843. The reversal of 285085642842 is 248246580582.

285085642842 is a `hidden beast` number, since 2 + 8 + 50 + 8 + 564 + 28 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (285085642841) and next prime (285085642843).

It is not an unprimeable number, because it can be changed into a prime (285085642841) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 266683884 + ... + 266684952.

It is an arithmetic number, because the mean of its divisors is an integer number (1558114740).

Almost surely, 2^285085642842 is an apocalyptic number.

285085642842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 285085642842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448737045120).

285085642842 is an abundant number, since it is smaller than the sum of its proper divisors (612388447398).

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

285085642842 is a wasteful number, since it uses less digits than its factorization.

285085642842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 285085642842 in words is "two hundred eighty-five billion, eighty-five million, six hundred forty-two thousand, eight hundred forty-two".