11106626004000 has 288 divisors, whose sum is σ = 40334105395584. Its totient is φ = 2892888230400.

The previous prime is 11106626003959. The next prime is 11106626004031. The reversal of 11106626004000 is 40062660111.

11106626004000 is a `hidden beast` number, since 1 + 1 + 10 + 6 + 6 + 2 + 600 + 40 + 0 + 0 = 666.

11106626004000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2039412 + ... + 5135411.

It is an arithmetic number, because the mean of its divisors is an integer number (140048977068).

Almost surely, 2^{11106626004000} is an apocalyptic number.

11106626004000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11106626004000 is an abundant number, since it is smaller than the sum of its proper divisors (29227479391584).

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

11106626004000 is a wasteful number, since it uses less digits than its factorization.

11106626004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7174897 (or 7174876 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 11106626004000 its reverse (40062660111), we get a palindrome (11146688664111).

The spelling of 11106626004000 in words is "eleven trillion, one hundred six billion, six hundred twenty-six million, four thousand".