288121910048 has 96 divisors (see below), whose sum is σ = 670805815680. Its totient is φ = 119253657600.

The previous prime is 288121909973. The next prime is 288121910107. The reversal of 288121910048 is 840019121882.

It is a junction number, because it is equal to n+sod(n) for n = 288121909990 and 288121910008.

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 15 ways as a sum of consecutive naturals, for example, 689198 + ... + 1025298.

It is an arithmetic number, because the mean of its divisors is an integer number (6987560580).

Almost surely, 2^288121910048 is an apocalyptic number.

288121910048 is a gapful number since it is divisible by the number (28) 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 288121910048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335402907840).

288121910048 is an abundant number, since it is smaller than the sum of its proper divisors (382683905632).

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

288121910048 is a wasteful number, since it uses less digits than its factorization.

288121910048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336250 (or 336242 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 44.

The spelling of 288121910048 in words is "two hundred eighty-eight billion, one hundred twenty-one million, nine hundred ten thousand, forty-eight".