11721384694800 has 360 divisors, whose sum is σ = 45126437035680. Its totient is φ = 2793385420800.

The previous prime is 11721384694787. The next prime is 11721384694861. The reversal of 11721384694800 is 849648312711.

11721384694800 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 138 + 469 + 48 + 0 + 0 = 666.

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

It is a super-3 number, since 3×11721384694800³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 172029 + ... + 4844828.

It is an arithmetic number, because the mean of its divisors is an integer number (125351213988).

Almost surely, 2^{11721384694800} is an apocalyptic number.

11721384694800 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 11721384694800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22563218517840).

11721384694800 is an abundant number, since it is smaller than the sum of its proper divisors (33405052340880).

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

11721384694800 is a wasteful number, since it uses less digits than its factorization.

11721384694800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016951 (or 5016937 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 11721384694800 in words is "eleven trillion, seven hundred twenty-one billion, three hundred eighty-four million, six hundred ninety-four thousand, eight hundred".