11289062880 has 192 divisors, whose sum is σ = 39620689920. Its totient is φ = 3002116608.

The previous prime is 11289062849. The next prime is 11289062923. The reversal of 11289062880 is 8826098211.

It is a happy number.

11289062880 is a `hidden beast` number, since 1 + 12 + 8 + 9 + 0 + 628 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1651149 + ... + 1657971.

It is an arithmetic number, because the mean of its divisors is an integer number (206357760).

Almost surely, 2^11289062880 is an apocalyptic number.

11289062880 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 11289062880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19810344960).

11289062880 is an abundant number, since it is smaller than the sum of its proper divisors (28331627040).

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

11289062880 is a wasteful number, since it uses less digits than its factorization.

11289062880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7230 (or 7216 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 11289062880 in words is "eleven billion, two hundred eighty-nine million, sixty-two thousand, eight hundred eighty".