11011331244160 has 128 divisors (see below), whose sum is σ = 28350724172400. Its totient is φ = 4065458405376.

The previous prime is 11011331244157. The next prime is 11011331244191. The reversal of 11011331244160 is 6144213311011.

It can be written as a sum of positive squares in 8 ways, for example, as 1813503928896 + 9197827315264 = 1346664^2 + 3032792^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11011331244160² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167340546 + ... + 167406334.

Almost surely, 2^{11011331244160} is an apocalyptic number.

11011331244160 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 11011331244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14175362086200).

11011331244160 is an abundant number, since it is smaller than the sum of its proper divisors (17339392928240).

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

11011331244160 is a wasteful number, since it uses less digits than its factorization.

11011331244160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85938 (or 85926 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 11011331244160 its reverse (6144213311011), we get a palindrome (17155544555171).

The spelling of 11011331244160 in words is "eleven trillion, eleven billion, three hundred thirty-one million, two hundred forty-four thousand, one hundred sixty".