11795435520 has 416 divisors, whose sum is σ = 42575376384. Its totient is φ = 2762342400.

The previous prime is 11795435507. The next prime is 11795435527. The reversal of 11795435520 is 2553459711.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11795435527) 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, 20950759 + ... + 20951321.

Almost surely, 2^11795435520 is an apocalyptic number.

11795435520 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 11795435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21287688192).

11795435520 is an abundant number, since it is smaller than the sum of its proper divisors (30779940864).

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

11795435520 is a wasteful number, since it uses less digits than its factorization.

11795435520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 42.

The spelling of 11795435520 in words is "eleven billion, seven hundred ninety-five million, four hundred thirty-five thousand, five hundred twenty".