10880268280 has 128 divisors (see below), whose sum is σ = 28335329280. Its totient is φ = 3682990080.

The previous prime is 10880268257. The next prime is 10880268317. The reversal of 10880268280 is 8286208801.

It is a happy number.

10880268280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10978585 + ... + 10979575.

It is an arithmetic number, because the mean of its divisors is an integer number (221369760).

Almost surely, 2^10880268280 is an apocalyptic number.

10880268280 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 10880268280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14167664640).

10880268280 is an abundant number, since it is smaller than the sum of its proper divisors (17455061000).

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

10880268280 is a wasteful number, since it uses less digits than its factorization.

10880268280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 43.

The spelling of 10880268280 in words is "ten billion, eight hundred eighty million, two hundred sixty-eight thousand, two hundred eighty".