11131266096 has 120 divisors (see below), whose sum is σ = 31440383520. Its totient is φ = 3676243968.

The previous prime is 11131266061. The next prime is 11131266101. The reversal of 11131266096 is 69066213111.

11131266096 is a `hidden beast` number, since 1 + 11 + 31 + 2 + 6 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11131266096.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10412250 + ... + 10413318.

It is an arithmetic number, because the mean of its divisors is an integer number (262003196).

Almost surely, 2^11131266096 is an apocalyptic number.

11131266096 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 11131266096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15720191760).

11131266096 is an abundant number, since it is smaller than the sum of its proper divisors (20309117424).

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

11131266096 is a wasteful number, since it uses less digits than its factorization.

11131266096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 11131266096 in words is "eleven billion, one hundred thirty-one million, two hundred sixty-six thousand, ninety-six".