13267958088 has 256 divisors, whose sum is σ = 42910433280. Its totient is φ = 3321216000.

The previous prime is 13267958083. The next prime is 13267958101. The reversal of 13267958088 is 88085976231.

It is a happy number.

13267958088 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 (13267958083) 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 63 ways as a sum of consecutive naturals, for example, 55053648 + ... + 55053888.

It is an arithmetic number, because the mean of its divisors is an integer number (167618880).

Almost surely, 2^13267958088 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 13267958088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21455216640).

13267958088 is an abundant number, since it is smaller than the sum of its proper divisors (29642475192).

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

13267958088 is a wasteful number, since it uses less digits than its factorization.

13267958088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 13267958088 in words is "thirteen billion, two hundred sixty-seven million, nine hundred fifty-eight thousand, eighty-eight".