11606400104904 has 1200 divisors, whose sum is σ = 39475306926000. Its totient is φ = 3176370806400.

The previous prime is 11606400104879. The next prime is 11606400104911. The reversal of 11606400104904 is 40940100460611.

11606400104904 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 640 + 0 + 1 + 0 + 4 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 173229852279 + ... + 173229852345.

It is an arithmetic number, because the mean of its divisors is an integer number (32896089105).

Almost surely, 2^{11606400104904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11606400104904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19737653463000).

11606400104904 is an abundant number, since it is smaller than the sum of its proper divisors (27868906821096).

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

11606400104904 is an equidigital number, since it uses as much as digits as its factorization.

11606400104904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11606400104904 in words is "eleven trillion, six hundred six billion, four hundred million, one hundred four thousand, nine hundred four".