11009289312 has 480 divisors, whose sum is σ = 38510664192. Its totient is φ = 3020322816.

The previous prime is 11009289293. The next prime is 11009289329. The reversal of 11009289312 is 21398290011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 80359708 + ... + 80359844.

Almost surely, 2^11009289312 is an apocalyptic number.

11009289312 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 11009289312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19255332096).

11009289312 is an abundant number, since it is smaller than the sum of its proper divisors (27501374880).

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

11009289312 is a wasteful number, since it uses less digits than its factorization.

11009289312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 11009289312 in words is "eleven billion, nine million, two hundred eighty-nine thousand, three hundred twelve".