11266638739200 has 648 divisors, whose sum is σ = 44388245293392. Its totient is φ = 2708822753280.

The previous prime is 11266638739193. The next prime is 11266638739211. The reversal of 11266638739200 is 293783666211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32023444 + ... + 32373356.

Almost surely, 2^{11266638739200} is an apocalyptic number.

11266638739200 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 11266638739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22194122646696).

11266638739200 is an abundant number, since it is smaller than the sum of its proper divisors (33121606554192).

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

11266638739200 is a wasteful number, since it uses less digits than its factorization.

11266638739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350001 (or 349979 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 11266638739200 in words is "eleven trillion, two hundred sixty-six billion, six hundred thirty-eight million, seven hundred thirty-nine thousand, two hundred".