11600132544 has 1008 divisors, whose sum is σ = 47219128320. Its totient is φ = 2645913600.

The previous prime is 11600132543. The next prime is 11600132581. The reversal of 11600132544 is 44523100611.

It is a happy number.

11600132544 is a `hidden beast` number, since 1 + 1 + 600 + 1 + 3 + 2 + 54 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11600132543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 196612387 + ... + 196612445.

Almost surely, 2^11600132544 is an apocalyptic number.

11600132544 is a gapful number since it is divisible by the number (14) 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 11600132544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23609564160).

11600132544 is an abundant number, since it is smaller than the sum of its proper divisors (35618995776).

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

11600132544 is a wasteful number, since it uses less digits than its factorization.

11600132544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 11600132544 in words is "eleven billion, six hundred million, one hundred thirty-two thousand, five hundred forty-four".