11259029936 has 80 divisors (see below), whose sum is σ = 27239328000. Its totient is φ = 4379831040.

The previous prime is 11259029911. The next prime is 11259029981. The reversal of 11259029936 is 63992095211.

11259029936 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, 827315 + ... + 840813.

It is an arithmetic number, because the mean of its divisors is an integer number (340491600).

Almost surely, 2^11259029936 is an apocalyptic number.

11259029936 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 11259029936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13619664000).

11259029936 is an abundant number, since it is smaller than the sum of its proper divisors (15980298064).

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

11259029936 is a wasteful number, since it uses less digits than its factorization.

11259029936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14202 (or 14196 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 47.

The spelling of 11259029936 in words is "eleven billion, two hundred fifty-nine million, twenty-nine thousand, nine hundred thirty-six".