13127269296 has 80 divisors (see below), whose sum is σ = 34500791808. Its totient is φ = 4299936000.

The previous prime is 13127269291. The next prime is 13127269339. The reversal of 13127269296 is 69296272131.

13127269296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13127269291) 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, 5582521 + ... + 5584871.

Almost surely, 2^13127269296 is an apocalyptic number.

13127269296 is a gapful number since it is divisible by the number (16) 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 13127269296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17250395904).

13127269296 is an abundant number, since it is smaller than the sum of its proper divisors (21373522512).

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

13127269296 is a wasteful number, since it uses less digits than its factorization.

13127269296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 4324 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The spelling of 13127269296 in words is "thirteen billion, one hundred twenty-seven million, two hundred sixty-nine thousand, two hundred ninety-six".