11530088544 has 144 divisors (see below), whose sum is σ = 32857650000. Its totient is φ = 3538649088.

The previous prime is 11530088477. The next prime is 11530088579. The reversal of 11530088544 is 44588003511.

11530088544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9230832 + ... + 9232080.

It is an arithmetic number, because the mean of its divisors is an integer number (228178125).

Almost surely, 2^11530088544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11530088544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16428825000).

11530088544 is an abundant number, since it is smaller than the sum of its proper divisors (21327561456).

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

11530088544 is a wasteful number, since it uses less digits than its factorization.

11530088544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 11530088544 in words is "eleven billion, five hundred thirty million, eighty-eight thousand, five hundred forty-four".