10981744128 has 400 divisors, whose sum is σ = 35471256480. Its totient is φ = 3372171264.

The previous prime is 10981744121. The next prime is 10981744139. The reversal of 10981744128 is 82144718901.

10981744128 is a `hidden beast` number, since 109 + 81 + 7 + 441 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10981744121) 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 39 ways as a sum of consecutive naturals, for example, 27661626 + ... + 27662022.

Almost surely, 2^10981744128 is an apocalyptic number.

10981744128 is a gapful number since it is divisible by the number (18) 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 10981744128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17735628240).

10981744128 is an abundant number, since it is smaller than the sum of its proper divisors (24489512352).

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

10981744128 is an equidigital number, since it uses as much as digits as its factorization.

10981744128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 10981744128 in words is "ten billion, nine hundred eighty-one million, seven hundred forty-four thousand, one hundred twenty-eight".