285234894236160 has 960 divisors, whose sum is σ = 1119485787323904. Its totient is φ = 69029082316800.

The previous prime is 285234894236153. The next prime is 285234894236177. The reversal of 285234894236160 is 61632498432582.

285234894236160 is a `hidden beast` number, since 2 + 8 + 5 + 2 + 3 + 4 + 8 + 9 + 4 + 2 + 3 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4016735055 + ... + 4016806065.

Almost surely, 2^{285234894236160} is an apocalyptic number.

285234894236160 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 285234894236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559742893661952).

285234894236160 is an abundant number, since it is smaller than the sum of its proper divisors (834250893087744).

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

285234894236160 is an equidigital number, since it uses as much as digits as its factorization.

285234894236160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71647 (or 71619 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 285234894236160 in words is "two hundred eighty-five trillion, two hundred thirty-four billion, eight hundred ninety-four million, two hundred thirty-six thousand, one hundred sixty".