11113830240 has 288 divisors, whose sum is σ = 37571052960. Its totient is φ = 2760769536.

The previous prime is 11113830209. The next prime is 11113830241. The reversal of 11113830240 is 4203831111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11113830240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11113830241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15675006 + ... + 15675714.

It is an arithmetic number, because the mean of its divisors is an integer number (130455045).

Almost surely, 2^11113830240 is an apocalyptic number.

11113830240 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 11113830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18785526480).

11113830240 is an abundant number, since it is smaller than the sum of its proper divisors (26457222720).

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

11113830240 is a wasteful number, since it uses less digits than its factorization.

11113830240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 11113830240 in words is "eleven billion, one hundred thirteen million, eight hundred thirty thousand, two hundred forty".