285305539600 has 135 divisors (see below), whose sum is σ = 728602514551. Its totient is φ = 107340774400.

The previous prime is 285305539553. The next prime is 285305539609. The reversal of 285305539600 is 6935503582.

The square root of 285305539600 is 534140.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6673582864 + 278631956736 = 81692^2 + 527856^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (285305539609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 181606815 + ... + 181608385.

Almost surely, 2^285305539600 is an apocalyptic number.

285305539600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

285305539600 is the 534140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285305539600

285305539600 is an abundant number, since it is smaller than the sum of its proper divisors (443296974951).

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

285305539600 is an equidigital number, since it uses as much as digits as its factorization.

285305539600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 46.

The spelling of 285305539600 in words is "two hundred eighty-five billion, three hundred five million, five hundred thirty-nine thousand, six hundred".