11268075600 has 360 divisors, whose sum is σ = 40436842680. Its totient is φ = 2904145920.

The previous prime is 11268075491. The next prime is 11268075607. The reversal of 11268075600 is 657086211.

11268075600 is a `hidden beast` number, since 1 + 12 + 6 + 80 + 7 + 560 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 323568144 + 10944507456 = 17988^2 + 104616^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11268075607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13927996 + ... + 13928804.

It is an arithmetic number, because the mean of its divisors is an integer number (112324563).

Almost surely, 2^11268075600 is an apocalyptic number.

11268075600 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 11268075600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20218421340).

11268075600 is an abundant number, since it is smaller than the sum of its proper divisors (29168767080).

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

11268075600 is a wasteful number, since it uses less digits than its factorization.

11268075600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11268075600 in words is "eleven billion, two hundred sixty-eight million, seventy-five thousand, six hundred".