11442144560 has 320 divisors, whose sum is σ = 34226095104. Its totient is φ = 3454464000.

The previous prime is 11442144557. The next prime is 11442144563. The reversal of 11442144560 is 6544124411.

It is an interprime number because it is at equal distance from previous prime (11442144557) and next prime (11442144563).

It is not an unprimeable number, because it can be changed into a prime (11442144563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32974307 + ... + 32974653.

Almost surely, 2^11442144560 is an apocalyptic number.

11442144560 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 11442144560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17113047552).

11442144560 is an abundant number, since it is smaller than the sum of its proper divisors (22783950544).

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

11442144560 is a wasteful number, since it uses less digits than its factorization.

11442144560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 11442144560 its reverse (6544124411), we get a palindrome (17986268971).

The spelling of 11442144560 in words is "eleven billion, four hundred forty-two million, one hundred forty-four thousand, five hundred sixty".