11795653520 has 80 divisors (see below), whose sum is σ = 31366742400. Its totient is φ = 4041126912.

The previous prime is 11795653483. The next prime is 11795653531. The reversal of 11795653520 is 2535659711.

11795653520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 795131 + ... + 809829.

It is an arithmetic number, because the mean of its divisors is an integer number (392084280).

Almost surely, 2^11795653520 is an apocalyptic number.

11795653520 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 11795653520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15683371200).

11795653520 is an abundant number, since it is smaller than the sum of its proper divisors (19571088880).

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

11795653520 is a wasteful number, since it uses less digits than its factorization.

11795653520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16152 (or 16146 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 44.

The spelling of 11795653520 in words is "eleven billion, seven hundred ninety-five million, six hundred fifty-three thousand, five hundred twenty".