285305751120 has 160 divisors (see below), whose sum is σ = 952682774400. Its totient is φ = 70214326272.

The previous prime is 285305751109. The next prime is 285305751169. The reversal of 285305751120 is 21157503582.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26636326 + ... + 26647034.

It is an arithmetic number, because the mean of its divisors is an integer number (5954267340).

Almost surely, 2^285305751120 is an apocalyptic number.

285305751120 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 285305751120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476341387200).

285305751120 is an abundant number, since it is smaller than the sum of its proper divisors (667377023280).

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

285305751120 is a wasteful number, since it uses less digits than its factorization.

285305751120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19277 (or 19271 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

The spelling of 285305751120 in words is "two hundred eighty-five billion, three hundred five million, seven hundred fifty-one thousand, one hundred twenty".