11132365920 has 384 divisors, whose sum is σ = 39463417728. Its totient is φ = 2619801600.

The previous prime is 11132365897. The next prime is 11132365927. The reversal of 11132365920 is 2956323111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132365927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13559110 + ... + 13559930.

It is an arithmetic number, because the mean of its divisors is an integer number (102769317).

Almost surely, 2^11132365920 is an apocalyptic number.

11132365920 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 11132365920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19731708864).

11132365920 is an abundant number, since it is smaller than the sum of its proper divisors (28331051808).

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

11132365920 is a wasteful number, since it uses less digits than its factorization.

11132365920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 11132365920 in words is "eleven billion, one hundred thirty-two million, three hundred sixty-five thousand, nine hundred twenty".