11281070880 has 384 divisors, whose sum is σ = 40488215040. Its totient is φ = 2969561088.

The previous prime is 11281070873. The next prime is 11281070891. The reversal of 11281070880 is 8807018211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36041604 + ... + 36041916.

It is an arithmetic number, because the mean of its divisors is an integer number (105438060).

Almost surely, 2^11281070880 is an apocalyptic number.

11281070880 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 11281070880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20244107520).

11281070880 is an abundant number, since it is smaller than the sum of its proper divisors (29207144160).

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

11281070880 is an equidigital number, since it uses as much as digits as its factorization.

11281070880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The spelling of 11281070880 in words is "eleven billion, two hundred eighty-one million, seventy thousand, eight hundred eighty".