11211036560144 has 160 divisors (see below), whose sum is σ = 24039381916800. Its totient is φ = 5042341601280.

The previous prime is 11211036560063. The next prime is 11211036560149. The reversal of 11211036560144 is 44106563011211.

It is not an unprimeable number, because it can be changed into a prime (11211036560149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 866312714 + ... + 866325654.

It is an arithmetic number, because the mean of its divisors is an integer number (150246136980).

Almost surely, 2^{11211036560144} 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 11211036560144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12019690958400).

11211036560144 is an abundant number, since it is smaller than the sum of its proper divisors (12828345356656).

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

11211036560144 is a wasteful number, since it uses less digits than its factorization.

11211036560144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14521 (or 14515 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

Adding to 11211036560144 its reverse (44106563011211), we get a palindrome (55317599571355).

The spelling of 11211036560144 in words is "eleven trillion, two hundred eleven billion, thirty-six million, five hundred sixty thousand, one hundred forty-four".