11001107684400 has 480 divisors, whose sum is σ = 37402076947200. Its totient is φ = 2756262297600.

The previous prime is 11001107684383. The next prime is 11001107684449. The reversal of 11001107684400 is 448670110011.

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 95 ways as a sum of consecutive naturals, for example, 5454192192 + ... + 5454194208.

It is an arithmetic number, because the mean of its divisors is an integer number (77920993640).

Almost surely, 2^{11001107684400} is an apocalyptic number.

11001107684400 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 11001107684400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18701038473600).

11001107684400 is an abundant number, since it is smaller than the sum of its proper divisors (26400969262800).

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

11001107684400 is a wasteful number, since it uses less digits than its factorization.

11001107684400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

Adding to 11001107684400 its reverse (448670110011), we get a palindrome (11449777794411).

The spelling of 11001107684400 in words is "eleven trillion, one billion, one hundred seven million, six hundred eighty-four thousand, four hundred".