11024241187980 has 384 divisors, whose sum is σ = 34914616934400. Its totient is φ = 2585056674816.

The previous prime is 11024241187963. The next prime is 11024241188041. The reversal of 11024241187980 is 8978114242011.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 367668069 + ... + 367698051.

It is an arithmetic number, because the mean of its divisors is an integer number (90923481600).

Almost surely, 2^{11024241187980} is an apocalyptic number.

11024241187980 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 11024241187980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17457308467200).

11024241187980 is an abundant number, since it is smaller than the sum of its proper divisors (23890375746420).

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

11024241187980 is a wasteful number, since it uses less digits than its factorization.

11024241187980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30453 (or 30451 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The spelling of 11024241187980 in words is "eleven trillion, twenty-four billion, two hundred forty-one million, one hundred eighty-seven thousand, nine hundred eighty".