10882488960 has 768 divisors, whose sum is σ = 45711993600. Its totient is φ = 2332753920.

The previous prime is 10882488959. The next prime is 10882488971. The reversal of 10882488960 is 6988428801.

It is a junction number, because it is equal to n+sod(n) for n = 10882488897 and 10882488906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47940367 + ... + 47940593.

It is an arithmetic number, because the mean of its divisors is an integer number (59520825).

Almost surely, 2^10882488960 is an apocalyptic number.

10882488960 is a gapful number since it is divisible by the number (10) 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 10882488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22855996800).

10882488960 is an abundant number, since it is smaller than the sum of its proper divisors (34829504640).

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

10882488960 is a wasteful number, since it uses less digits than its factorization.

10882488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 10882488960 in words is "ten billion, eight hundred eighty-two million, four hundred eighty-eight thousand, nine hundred sixty".