11805407136 has 144 divisors (see below), whose sum is σ = 34741586880. Its totient is φ = 3800079360.

The previous prime is 11805407111. The next prime is 11805407153. The reversal of 11805407136 is 63170450811.

11805407136 is a `hidden beast` number, since 1 + 1 + 80 + 540 + 7 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11805407136.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1096821 + ... + 1107531.

It is an arithmetic number, because the mean of its divisors is an integer number (241261020).

Almost surely, 2^11805407136 is an apocalyptic number.

11805407136 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 11805407136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17370793440).

11805407136 is an abundant number, since it is smaller than the sum of its proper divisors (22936179744).

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

11805407136 is a wasteful number, since it uses less digits than its factorization.

11805407136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10859 (or 10848 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 11805407136 its reverse (63170450811), we get a palindrome (74975857947).

The spelling of 11805407136 in words is "eleven billion, eight hundred five million, four hundred seven thousand, one hundred thirty-six".