11505120768 has 480 divisors, whose sum is σ = 37654256640. Its totient is φ = 3493601280.

The previous prime is 11505120713. The next prime is 11505120791. The reversal of 11505120768 is 86702150511.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 73280946 + ... + 73281102.

It is an arithmetic number, because the mean of its divisors is an integer number (78446368).

Almost surely, 2^11505120768 is an apocalyptic number.

11505120768 is a gapful number since it is divisible by the number (18) 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 11505120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18827128320).

11505120768 is an abundant number, since it is smaller than the sum of its proper divisors (26149135872).

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

11505120768 is an equidigital number, since it uses as much as digits as its factorization.

11505120768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 11505120768 in words is "eleven billion, five hundred five million, one hundred twenty thousand, seven hundred sixty-eight".