11269452091800 has 576 divisors, whose sum is σ = 40929558733440. Its totient is φ = 2557524480000.

The previous prime is 11269452091739. The next prime is 11269452091829. The reversal of 11269452091800 is 819025496211.

It is a self number, because there is not a number n which added to its sum of digits gives 11269452091800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2676191695 + ... + 2676195905.

It is an arithmetic number, because the mean of its divisors is an integer number (71058261690).

Almost surely, 2^{11269452091800} is an apocalyptic number.

11269452091800 is a gapful number since it is divisible by the number (10) 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 11269452091800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20464779366720).

11269452091800 is an abundant number, since it is smaller than the sum of its proper divisors (29660106641640).

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

11269452091800 is a wasteful number, since it uses less digits than its factorization.

11269452091800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872 (or 4856 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 11269452091800 in words is "eleven trillion, two hundred sixty-nine billion, four hundred fifty-two million, ninety-one thousand, eight hundred".