11109875840 has 384 divisors, whose sum is σ = 32835611520. Its totient is φ = 3576545280.

The previous prime is 11109875827. The next prime is 11109875849. The reversal of 11109875840 is 4857890111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11109875791 and 11109875800.

It is not an unprimeable number, because it can be changed into a prime (11109875849) 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 47 ways as a sum of consecutive naturals, for example, 52653335 + ... + 52653545.

It is an arithmetic number, because the mean of its divisors is an integer number (85509405).

Almost surely, 2^11109875840 is an apocalyptic number.

11109875840 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 11109875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16417805760).

11109875840 is an abundant number, since it is smaller than the sum of its proper divisors (21725735680).

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

11109875840 is a wasteful number, since it uses less digits than its factorization.

11109875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 44.

The spelling of 11109875840 in words is "eleven billion, one hundred nine million, eight hundred seventy-five thousand, eight hundred forty".