11266248268800 has 4224 divisors, whose sum is σ = 53949618432000. Its totient is φ = 2270303354880.

The previous prime is 11266248268763. The next prime is 11266248268811. The reversal of 11266248268800 is 886284266211.

11266248268800 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 624 + 8 + 2 + 6 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 126587059156 + ... + 126587059244.

Almost surely, 2^{11266248268800} is an apocalyptic number.

11266248268800 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 11266248268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26974809216000).

11266248268800 is an abundant number, since it is smaller than the sum of its proper divisors (42683370163200).

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

11266248268800 is an equidigital number, since it uses as much as digits as its factorization.

11266248268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 11266248268800 in words is "eleven trillion, two hundred sixty-six billion, two hundred forty-eight million, two hundred sixty-eight thousand, eight hundred".