11293106240 has 112 divisors (see below), whose sum is σ = 28995624000. Its totient is φ = 4164679680.

The previous prime is 11293106203. The next prime is 11293106249. The reversal of 11293106240 is 4260139211.

It is not an unprimeable number, because it can be changed into a prime (11293106249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6234935 + ... + 6236745.

It is an arithmetic number, because the mean of its divisors is an integer number (258889500).

Almost surely, 2^11293106240 is an apocalyptic number.

11293106240 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 11293106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14497812000).

11293106240 is an abundant number, since it is smaller than the sum of its proper divisors (17702517760).

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

11293106240 is a wasteful number, since it uses less digits than its factorization.

11293106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 11293106240 in words is "eleven billion, two hundred ninety-three million, one hundred six thousand, two hundred forty".