11259248608 has 96 divisors (see below), whose sum is σ = 24917760000. Its totient is φ = 4983068160.

The previous prime is 11259248557. The next prime is 11259248617. The reversal of 11259248608 is 80684295211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 536293 + ... + 556891.

It is an arithmetic number, because the mean of its divisors is an integer number (259560000).

Almost surely, 2^11259248608 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 11259248608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12458880000).

11259248608 is an abundant number, since it is smaller than the sum of its proper divisors (13658511392).

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

11259248608 is a wasteful number, since it uses less digits than its factorization.

11259248608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20688 (or 20680 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 11259248608 in words is "eleven billion, two hundred fifty-nine million, two hundred forty-eight thousand, six hundred eight".