285056432856 has 192 divisors, whose sum is σ = 849217824000. Its totient is φ = 85849424640.

The previous prime is 285056432851. The next prime is 285056432861. The reversal of 285056432856 is 658234650582.

285056432856 is a `hidden beast` number, since 2 + 8 + 5 + 0 + 564 + 3 + 28 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (285056432851) and next prime (285056432861).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285056432851) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9221955 + ... + 9252813.

It is an arithmetic number, because the mean of its divisors is an integer number (4423009500).

Almost surely, 2^285056432856 is an apocalyptic number.

285056432856 is a gapful number since it is divisible by the number (26) 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 285056432856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424608912000).

285056432856 is an abundant number, since it is smaller than the sum of its proper divisors (564161391144).

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

285056432856 is a wasteful number, since it uses less digits than its factorization.

285056432856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31094 (or 31087 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 285056432856 in words is "two hundred eighty-five billion, fifty-six million, four hundred thirty-two thousand, eight hundred fifty-six".