11265636096 has 432 divisors, whose sum is σ = 39426895872. Its totient is φ = 3046809600.

The previous prime is 11265636059. The next prime is 11265636103. The reversal of 11265636096 is 69063656211.

11265636096 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 5 + 636 + 0 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10213081 + ... + 10214183.

Almost surely, 2^11265636096 is an apocalyptic number.

11265636096 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 11265636096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19713447936).

11265636096 is an abundant number, since it is smaller than the sum of its proper divisors (28161259776).

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

11265636096 is a wasteful number, since it uses less digits than its factorization.

11265636096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 11265636096 in words is "eleven billion, two hundred sixty-five million, six hundred thirty-six thousand, ninety-six".