288261610000 has 675 divisors, whose sum is σ = 894261636081. Its totient is φ = 89683776000.

The previous prime is 288261609973. The next prime is 288261610081. The reversal of 288261610000 is 16162882.

The square root of 288261610000 is 536900.

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

It can be written as a sum of positive squares in 7 ways, for example, as 284724691216 + 3536918784 = 533596^2 + 59472^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4885789971 + ... + 4885790029.

Almost surely, 2^288261610000 is an apocalyptic number.

288261610000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

288261610000 is the 536900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288261610000

288261610000 is an abundant number, since it is smaller than the sum of its proper divisors (606000026081).

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

288261610000 is an equidigital number, since it uses as much as digits as its factorization.

288261610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

Adding to 288261610000 its reverse (16162882), we get a palindrome (288277772882).

The spelling of 288261610000 in words is "two hundred eighty-eight billion, two hundred sixty-one million, six hundred ten thousand".