13138792784 has 60 divisors (see below), whose sum is σ = 27849959676. Its totient is φ = 6001422336.

The previous prime is 13138792739. The next prime is 13138792787. The reversal of 13138792784 is 48729783131.

It can be written as a sum of positive squares in 6 ways, for example, as 5592048400 + 7546744384 = 74780^2 + 86872^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13138792787) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237242 + ... + 287334.

Almost surely, 2^13138792784 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 13138792784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13924979838).

13138792784 is an abundant number, since it is smaller than the sum of its proper divisors (14711166892).

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

13138792784 is a wasteful number, since it uses less digits than its factorization.

13138792784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50224 (or 50205 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 53.

The spelling of 13138792784 in words is "thirteen billion, one hundred thirty-eight million, seven hundred ninety-two thousand, seven hundred eighty-four".