13260142788 has 48 divisors (see below), whose sum is σ = 32641560000. Its totient is φ = 4178055168.

The previous prime is 13260142741. The next prime is 13260142789. The reversal of 13260142788 is 88724106231.

13260142788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13260142789) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37608 + ... + 167136.

It is an arithmetic number, because the mean of its divisors is an integer number (680032500).

Almost surely, 2^13260142788 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13260142788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16320780000).

13260142788 is an abundant number, since it is smaller than the sum of its proper divisors (19381417212).

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

13260142788 is a wasteful number, since it uses less digits than its factorization.

13260142788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130004 (or 130002 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 13260142788 in words is "thirteen billion, two hundred sixty million, one hundred forty-two thousand, seven hundred eighty-eight".