11083258240 has 128 divisors (see below), whose sum is σ = 27728593920. Its totient is φ = 4231618560.

The previous prime is 11083258231. The next prime is 11083258243. The reversal of 11083258240 is 4285238011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11083258240² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11083258196 and 11083258205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11083258243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1250625 + ... + 1259455.

It is an arithmetic number, because the mean of its divisors is an integer number (216629640).

Almost surely, 2^11083258240 is an apocalyptic number.

11083258240 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 11083258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13864296960).

11083258240 is an abundant number, since it is smaller than the sum of its proper divisors (16645335680).

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

11083258240 is an equidigital number, since it uses as much as digits as its factorization.

11083258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8940 (or 8928 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 11083258240 in words is "eleven billion, eighty-three million, two hundred fifty-eight thousand, two hundred forty".