11586523840 has 112 divisors (see below), whose sum is σ = 28163520000. Its totient is φ = 4538944512.

The previous prime is 11586523831. The next prime is 11586523847. The reversal of 11586523840 is 4832568511.

It is not an unprimeable number, because it can be changed into a prime (11586523847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5795161 + ... + 5797159.

It is an arithmetic number, because the mean of its divisors is an integer number (251460000).

Almost surely, 2^11586523840 is an apocalyptic number.

11586523840 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 11586523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14081760000).

11586523840 is an abundant number, since it is smaller than the sum of its proper divisors (16576996160).

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

11586523840 is a wasteful number, since it uses less digits than its factorization.

11586523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 11586523840 in words is "eleven billion, five hundred eighty-six million, five hundred twenty-three thousand, eight hundred forty".