11544000160 has 432 divisors, whose sum is σ = 35808762528. Its totient is φ = 3502033920.

The previous prime is 11544000157. The next prime is 11544000199. The reversal of 11544000160 is 6100044511.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40791379 + ... + 40791661.

It is an arithmetic number, because the mean of its divisors is an integer number (82890654).

Almost surely, 2^11544000160 is an apocalyptic number.

11544000160 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 11544000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17904381264).

11544000160 is an abundant number, since it is smaller than the sum of its proper divisors (24264762368).

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

11544000160 is a wasteful number, since it uses less digits than its factorization.

11544000160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 11544000160 its reverse (6100044511), we get a palindrome (17644044671).

The spelling of 11544000160 in words is "eleven billion, five hundred forty-four million, one hundred sixty", and thus it is an aban number.