11326809499200 has 1008 divisors, whose sum is σ = 44691360569856. Its totient is φ = 2703156019200.

The previous prime is 11326809499171. The next prime is 11326809499249. The reversal of 11326809499200 is 299490862311.

11326809499200 is a `hidden beast` number, since 1 + 1 + 3 + 268 + 0 + 94 + 99 + 200 = 666.

It is a super-2 number, since 2×11326809499200² (a number of 27 digits) contains 22 as substring.

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, 1102790065 + ... + 1102800335.

It is an arithmetic number, because the mean of its divisors is an integer number (44336667232).

Almost surely, 2^{11326809499200} is an apocalyptic number.

11326809499200 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 11326809499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22345680284928).

11326809499200 is an abundant number, since it is smaller than the sum of its proper divisors (33364551070656).

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

11326809499200 is a wasteful number, since it uses less digits than its factorization.

11326809499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10492 (or 10474 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 11326809499200 in words is "eleven trillion, three hundred twenty-six billion, eight hundred nine million, four hundred ninety-nine thousand, two hundred".