11268385065000 has 480 divisors, whose sum is σ = 45198222189120. Its totient is φ = 2575628928000.

The previous prime is 11268385064939. The next prime is 11268385065001. The reversal of 11268385065000 is 56058386211.

11268385065000 is a `hidden beast` number, since 1 + 1 + 2 + 68 + 3 + 85 + 0 + 6 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11268385065001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7842544 + ... + 9167456.

It is an arithmetic number, because the mean of its divisors is an integer number (94162962894).

Almost surely, 2^{11268385065000} is an apocalyptic number.

11268385065000 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 11268385065000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22599111094560).

11268385065000 is an abundant number, since it is smaller than the sum of its proper divisors (33929837124120).

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

11268385065000 is an equidigital number, since it uses as much as digits as its factorization.

11268385065000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324961 (or 1324930 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 11268385065000 in words is "eleven trillion, two hundred sixty-eight billion, three hundred eighty-five million, sixty-five thousand".