11804072136192 has 1120 divisors, whose sum is σ = 41304949171200. Its totient is φ = 3299034562560.

The previous prime is 11804072136149. The next prime is 11804072136251. The reversal of 11804072136192 is 29163127040811.

11804072136192 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 4 + 0 + 7 + 21 + 3 + 619 + 2 = 666.

It is a super-2 number, since 2×11804072136192² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 37955215717 + ... + 37955216027.

Almost surely, 2^{11804072136192} is an apocalyptic number.

11804072136192 is a gapful number since it is divisible by the number (12) 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 11804072136192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20652474585600).

11804072136192 is an abundant number, since it is smaller than the sum of its proper divisors (29500877035008).

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

11804072136192 is an frugal number, since it uses more digits than its factorization.

11804072136192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11804072136192 in words is "eleven trillion, eight hundred four billion, seventy-two million, one hundred thirty-six thousand, one hundred ninety-two".