288225838080 has 1232 divisors, whose sum is σ = 1113459001344. Its totient is φ = 71424737280.

The previous prime is 288225838063. The next prime is 288225838091. The reversal of 288225838080 is 80838522882.

288225838080 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 258 + 380 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 5438223334 + ... + 5438223386.

Almost surely, 2^288225838080 is an apocalyptic number.

288225838080 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 288225838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556729500672).

288225838080 is an abundant number, since it is smaller than the sum of its proper divisors (825233163264).

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

288225838080 is an equidigital number, since it uses as much as digits as its factorization.

288225838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 288225838080 in words is "two hundred eighty-eight billion, two hundred twenty-five million, eight hundred thirty-eight thousand, eighty".