11586604124160 has 1920 divisors, whose sum is σ = 48907021363200. Its totient is φ = 2596452433920.

The previous prime is 11586604124153. The next prime is 11586604124203. The reversal of 11586604124160 is 6142140668511.

11586604124160 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 6 + 604 + 1 + 24 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 5682492421 + ... + 5682494459.

It is an arithmetic number, because the mean of its divisors is an integer number (25472406960).

Almost surely, 2^{11586604124160} is an apocalyptic number.

11586604124160 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 11586604124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24453510681600).

11586604124160 is an abundant number, since it is smaller than the sum of its proper divisors (37320417239040).

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

11586604124160 is a wasteful number, since it uses less digits than its factorization.

11586604124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 11586604124160 in words is "eleven trillion, five hundred eighty-six billion, six hundred four million, one hundred twenty-four thousand, one hundred sixty".