11791871136 has 120 divisors (see below), whose sum is σ = 34998565140. Its totient is φ = 3894469632.

The previous prime is 11791871131. The next prime is 11791871207. The reversal of 11791871136 is 63117819711.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9651883536 + 2139987600 = 98244^2 + 46260^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11791871091 and 11791871100.

It is not an unprimeable number, because it can be changed into a prime (11791871131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 261660 + ... + 303396.

Almost surely, 2^11791871136 is an apocalyptic number.

11791871136 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 11791871136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17499282570).

11791871136 is an abundant number, since it is smaller than the sum of its proper divisors (23206694004).

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

11791871136 is a wasteful number, since it uses less digits than its factorization.

11791871136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41868 (or 41851 counting only the distinct ones).

The product of its digits is 63504, while the sum is 45.

The spelling of 11791871136 in words is "eleven billion, seven hundred ninety-one million, eight hundred seventy-one thousand, one hundred thirty-six".