11581433840 has 120 divisors (see below), whose sum is σ = 28000216800. Its totient is φ = 4454714880.

The previous prime is 11581433833. The next prime is 11581433849. The reversal of 11581433840 is 4833418511.

It is a junction number, because it is equal to n+sod(n) for n = 11581433794 and 11581433803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11581433849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15298742 + ... + 15299498.

It is an arithmetic number, because the mean of its divisors is an integer number (233335140).

Almost surely, 2^11581433840 is an apocalyptic number.

11581433840 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 11581433840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14000108400).

11581433840 is an abundant number, since it is smaller than the sum of its proper divisors (16418782960).

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

11581433840 is a wasteful number, since it uses less digits than its factorization.

11581433840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 11581433840 in words is "eleven billion, five hundred eighty-one million, four hundred thirty-three thousand, eight hundred forty".