11091306240 has 864 divisors, whose sum is σ = 47847260160. Its totient is φ = 2382815232.

The previous prime is 11091306133. The next prime is 11091306241. The reversal of 11091306240 is 4260319011.

11091306240 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 1 + 30 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11091306241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87333057 + ... + 87333183.

Almost surely, 2^11091306240 is an apocalyptic number.

11091306240 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 11091306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23923630080).

11091306240 is an abundant number, since it is smaller than the sum of its proper divisors (36755953920).

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

11091306240 is a wasteful number, since it uses less digits than its factorization.

11091306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 11091306240 in words is "eleven billion, ninety-one million, three hundred six thousand, two hundred forty".