11835680160 has 192 divisors, whose sum is σ = 40221764352. Its totient is φ = 2914369536.

The previous prime is 11835680117. The next prime is 11835680161. The reversal of 11835680160 is 6108653811.

It is not an unprimeable number, because it can be changed into a prime (11835680161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418797 + ... + 446163.

It is an arithmetic number, because the mean of its divisors is an integer number (209488356).

Almost surely, 2^11835680160 is an apocalyptic number.

11835680160 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 11835680160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20110882176).

11835680160 is an abundant number, since it is smaller than the sum of its proper divisors (28386084192).

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

11835680160 is a wasteful number, since it uses less digits than its factorization.

11835680160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27455 (or 27447 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 11835680160 in words is "eleven billion, eight hundred thirty-five million, six hundred eighty thousand, one hundred sixty".