10869086880 has 288 divisors, whose sum is σ = 38209848768. Its totient is φ = 2811801600.

The previous prime is 10869086863. The next prime is 10869086881. The reversal of 10869086880 is 8868096801.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (10869086881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13401675 + ... + 13402485.

It is an arithmetic number, because the mean of its divisors is an integer number (132673086).

Almost surely, 2^10869086880 is an apocalyptic number.

10869086880 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 10869086880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19104924384).

10869086880 is an abundant number, since it is smaller than the sum of its proper divisors (27340761888).

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

10869086880 is a wasteful number, since it uses less digits than its factorization.

10869086880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 10869086880 in words is "ten billion, eight hundred sixty-nine million, eighty-six thousand, eight hundred eighty".