11791847760 has 320 divisors, whose sum is σ = 47148410880. Its totient is φ = 2365655040.

The previous prime is 11791847741. The next prime is 11791847761. The reversal of 11791847760 is 6774819711.

11791847760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11791847761) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 524919 + ... + 546921.

It is an arithmetic number, because the mean of its divisors is an integer number (147338784).

Almost surely, 2^11791847760 is an apocalyptic number.

11791847760 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 11791847760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23574205440).

11791847760 is an abundant number, since it is smaller than the sum of its proper divisors (35356563120).

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

11791847760 is a wasteful number, since it uses less digits than its factorization.

11791847760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22066 (or 22060 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 51.

The spelling of 11791847760 in words is "eleven billion, seven hundred ninety-one million, eight hundred forty-seven thousand, seven hundred sixty".