11097065280 has 448 divisors, whose sum is σ = 41784422400. Its totient is φ = 2493646848.

The previous prime is 11097065279. The next prime is 11097065297. The reversal of 11097065280 is 8256079011.

11097065280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22061509 + ... + 22062011.

It is an arithmetic number, because the mean of its divisors is an integer number (93268800).

Almost surely, 2^11097065280 is an apocalyptic number.

11097065280 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 11097065280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20892211200).

11097065280 is an abundant number, since it is smaller than the sum of its proper divisors (30687357120).

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

11097065280 is an equidigital number, since it uses as much as digits as its factorization.

11097065280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 11097065280 in words is "eleven billion, ninety-seven million, sixty-five thousand, two hundred eighty".