11105763872 has 192 divisors, whose sum is σ = 26925696000. Its totient is φ = 4403911680.

The previous prime is 11105763871. The next prime is 11105763899. The reversal of 11105763872 is 27836750111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11105763871) 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 31 ways as a sum of consecutive naturals, for example, 52633847 + ... + 52634057.

It is an arithmetic number, because the mean of its divisors is an integer number (140238000).

Almost surely, 2^11105763872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11105763872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13462848000).

11105763872 is an abundant number, since it is smaller than the sum of its proper divisors (15819932128).

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

11105763872 is a wasteful number, since it uses less digits than its factorization.

11105763872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 41.

The spelling of 11105763872 in words is "eleven billion, one hundred five million, seven hundred sixty-three thousand, eight hundred seventy-two".