11267135016 has 64 divisors (see below), whose sum is σ = 29857481280. Its totient is φ = 3530910720.

The previous prime is 11267134997. The next prime is 11267135029. The reversal of 11267135016 is 61053176211.

11267135016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 369255 + ... + 398601.

It is an arithmetic number, because the mean of its divisors is an integer number (466523145).

Almost surely, 2^11267135016 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 11267135016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14928740640).

11267135016 is an abundant number, since it is smaller than the sum of its proper divisors (18590346264).

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

11267135016 is a wasteful number, since it uses less digits than its factorization.

11267135016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30314 (or 30310 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 11267135016 in words is "eleven billion, two hundred sixty-seven million, one hundred thirty-five thousand, sixteen".