11111081130240 has 864 divisors, whose sum is σ = 44887628088576. Its totient is φ = 2321503027200.

The previous prime is 11111081130217. The next prime is 11111081130293. The reversal of 11111081130240 is 4203118011111.

It is a happy number.

It is a super-2 number, since 2×11111081130240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11111081130240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251924190 + ... + 251968290.

Almost surely, 2^{11111081130240} is an apocalyptic number.

11111081130240 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 11111081130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22443814044288).

11111081130240 is an abundant number, since it is smaller than the sum of its proper divisors (33776546958336).

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

11111081130240 is a wasteful number, since it uses less digits than its factorization.

11111081130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44255 (or 44234 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 24.

Adding to 11111081130240 its reverse (4203118011111), we get a palindrome (15314199141351).

The spelling of 11111081130240 in words is "eleven trillion, one hundred eleven billion, eighty-one million, one hundred thirty thousand, two hundred forty".