882560065288 has 64 divisors (see below), whose sum is σ = 1900452456000. Its totient is φ = 380009088000.

The previous prime is 882560065243. The next prime is 882560065313.

It is a happy number.

882560065288 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19708908 + ... + 19753636.

It is an arithmetic number, because the mean of its divisors is an integer number (29694569625).

Almost surely, 2^882560065288 is an apocalyptic number.

882560065288 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

882560065288 is an abundant number, since it is smaller than the sum of its proper divisors (1017892390712).

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

882560065288 is a wasteful number, since it uses less digits than its factorization.

882560065288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56566 (or 56562 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 58.

The spelling of 882560065288 in words is "eight hundred eighty-two billion, five hundred sixty million, sixty-five thousand, two hundred eighty-eight".