11636905920 has 112 divisors (see below), whose sum is σ = 36970776960. Its totient is φ = 3101193216.

The previous prime is 11636905901. The next prime is 11636905957. The reversal of 11636905920 is 2950963611.

11636905920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2089059 + ... + 2094621.

Almost surely, 2^11636905920 is an apocalyptic number.

11636905920 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 11636905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18485388480).

11636905920 is an abundant number, since it is smaller than the sum of its proper divisors (25333871040).

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

11636905920 is a wasteful number, since it uses less digits than its factorization.

11636905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7762 (or 7752 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The spelling of 11636905920 in words is "eleven billion, six hundred thirty-six million, nine hundred five thousand, nine hundred twenty".