11532583520 has 48 divisors (see below), whose sum is σ = 28679721840. Its totient is φ = 4370241024.

The previous prime is 11532583459. The next prime is 11532583529. The reversal of 11532583520 is 2538523511.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11532583529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1893767 + ... + 1899846.

It is an arithmetic number, because the mean of its divisors is an integer number (597494205).

Almost surely, 2^11532583520 is an apocalyptic number.

11532583520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11532583520 is an abundant number, since it is smaller than the sum of its proper divisors (17147138320).

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

11532583520 is a wasteful number, since it uses less digits than its factorization.

11532583520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3793647 (or 3793639 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 11532583520 in words is "eleven billion, five hundred thirty-two million, five hundred eighty-three thousand, five hundred twenty".