11580433920 has 400 divisors, whose sum is σ = 45257045328. Its totient is φ = 2806824960.

The previous prime is 11580433897. The next prime is 11580433927. The reversal of 11580433920 is 2933408511.

11580433920 is a `hidden beast` number, since 1 + 1 + 580 + 43 + 39 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11580433927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2278422 + ... + 2283498.

Almost surely, 2^11580433920 is an apocalyptic number.

11580433920 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 11580433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22628522664).

11580433920 is an abundant number, since it is smaller than the sum of its proper divisors (33676611408).

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

11580433920 is an equidigital number, since it uses as much as digits as its factorization.

11580433920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5123 (or 5098 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11580433920 in words is "eleven billion, five hundred eighty million, four hundred thirty-three thousand, nine hundred twenty".