13788007128 has 48 divisors (see below), whose sum is σ = 42677166480. Its totient is φ = 3939430464.

The previous prime is 13788007127. The next prime is 13788007157. The reversal of 13788007128 is 82170088731.

13788007128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13788007127) 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 11 ways as a sum of consecutive naturals, for example, 13678075 + ... + 13679082.

It is an arithmetic number, because the mean of its divisors is an integer number (889107635).

Almost surely, 2^13788007128 is an apocalyptic number.

13788007128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13788007128 is an abundant number, since it is smaller than the sum of its proper divisors (28889159352).

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

13788007128 is a wasteful number, since it uses less digits than its factorization.

13788007128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27357176 (or 27357169 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 13788007128 in words is "thirteen billion, seven hundred eighty-eight million, seven thousand, one hundred twenty-eight".