11796744960 has 1728 divisors, whose sum is σ = 58459054080. Its totient is φ = 2189721600.

The previous prime is 11796744959. The next prime is 11796744977. The reversal of 11796744960 is 6944769711.

11796744960 is a `hidden beast` number, since 11 + 79 + 6 + 74 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11796744897 and 11796744906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 380540145 + ... + 380540175.

Almost surely, 2^11796744960 is an apocalyptic number.

11796744960 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 11796744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29229527040).

11796744960 is an abundant number, since it is smaller than the sum of its proper divisors (46662309120).

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

11796744960 is a wasteful number, since it uses less digits than its factorization.

11796744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 11796744960 in words is "eleven billion, seven hundred ninety-six million, seven hundred forty-four thousand, nine hundred sixty".