11809033068096 has 672 divisors, whose sum is σ = 38886732398592. Its totient is φ = 3391461765120.

The previous prime is 11809033068089. The next prime is 11809033068101. The reversal of 11809033068096 is 69086033090811.

11809033068096 is a `hidden beast` number, since 1 + 1 + 80 + 90 + 330 + 68 + 0 + 96 = 666.

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 95 ways as a sum of consecutive naturals, for example, 9655790941 + ... + 9655792163.

Almost surely, 2^{11809033068096} is an apocalyptic number.

11809033068096 is a gapful number since it is divisible by the number (16) 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 11809033068096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19443366199296).

11809033068096 is an abundant number, since it is smaller than the sum of its proper divisors (27077699330496).

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

11809033068096 is a wasteful number, since it uses less digits than its factorization.

11809033068096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 11809033068096 in words is "eleven trillion, eight hundred nine billion, thirty-three million, sixty-eight thousand, ninety-six".