11090282112 has 768 divisors, whose sum is σ = 42771456000. Its totient is φ = 2731180032.

The previous prime is 11090282087. The next prime is 11090282123. The reversal of 11090282112 is 21128209011.

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, 87324993 + ... + 87325119.

It is an arithmetic number, because the mean of its divisors is an integer number (55692000).

Almost surely, 2^11090282112 is an apocalyptic number.

11090282112 is a gapful number since it is divisible by the number (12) 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 11090282112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21385728000).

11090282112 is an abundant number, since it is smaller than the sum of its proper divisors (31681173888).

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

11090282112 is a wasteful number, since it uses less digits than its factorization.

11090282112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 11090282112 in words is "eleven billion, ninety million, two hundred eighty-two thousand, one hundred twelve".