12800075040 has 288 divisors, whose sum is σ = 46115334720. Its totient is φ = 3224143872.

The previous prime is 12800075033. The next prime is 12800075053. The reversal of 12800075040 is 4057000821.

12800075040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 12800074995 and 12800075013.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16059922 + ... + 16060718.

It is an arithmetic number, because the mean of its divisors is an integer number (160122690).

Almost surely, 2^12800075040 is an apocalyptic number.

12800075040 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 12800075040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23057667360).

12800075040 is an abundant number, since it is smaller than the sum of its proper divisors (33315259680).

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

12800075040 is a wasteful number, since it uses less digits than its factorization.

12800075040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 12800075040 its reverse (4057000821), we get a palindrome (16857075861).

The spelling of 12800075040 in words is "twelve billion, eight hundred million, seventy-five thousand, forty".