11291025312 has 432 divisors, whose sum is σ = 39930770880. Its totient is φ = 3010258944.

The previous prime is 11291025299. The next prime is 11291025341. The reversal of 11291025312 is 21352019211.

11291025312 is a `hidden beast` number, since 1 + 1 + 29 + 102 + 531 + 2 = 666.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13956364 + ... + 13957172.

It is an arithmetic number, because the mean of its divisors is an integer number (92432340).

Almost surely, 2^11291025312 is an apocalyptic number.

11291025312 is a gapful number since it is divisible by the number (12) 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 11291025312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19965385440).

11291025312 is an abundant number, since it is smaller than the sum of its proper divisors (28639745568).

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

11291025312 is a wasteful number, since it uses less digits than its factorization.

11291025312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 11291025312 in words is "eleven billion, two hundred ninety-one million, twenty-five thousand, three hundred twelve".