288069828960882 has 32 divisors (see below), whose sum is σ = 583096977408960. Its totient is φ = 94863786080000.

The previous prime is 288069828960817. The next prime is 288069828960883.

288069828960882 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 288069828960795 and 288069828960804.

It is not an unprimeable number, because it can be changed into a prime (288069828960883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10473382 + ... + 26188382.

It is an arithmetic number, because the mean of its divisors is an integer number (18221780544030).

Almost surely, 2^{288069828960882} is an apocalyptic number.

288069828960882 is an abundant number, since it is smaller than the sum of its proper divisors (295027148448078).

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

288069828960882 is a wasteful number, since it uses less digits than its factorization.

288069828960882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15751898.

The product of its (nonzero) digits is 6115295232, while the sum is 84.

The spelling of 288069828960882 in words is "two hundred eighty-eight trillion, sixty-nine billion, eight hundred twenty-eight million, nine hundred sixty thousand, eight hundred eighty-two".