11959768800 has 576 divisors, whose sum is σ = 50081794560. Its totient is φ = 2697891840.

The previous prime is 11959768759. The next prime is 11959768913. The reversal of 11959768800 is 886795911.

11959768800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 12549124 + ... + 12550076.

It is an arithmetic number, because the mean of its divisors is an integer number (86947560).

Almost surely, 2^11959768800 is an apocalyptic number.

11959768800 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 11959768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25040897280).

11959768800 is an abundant number, since it is smaller than the sum of its proper divisors (38122025760).

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

11959768800 is a wasteful number, since it uses less digits than its factorization.

11959768800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 11959768800 in words is "eleven billion, nine hundred fifty-nine million, seven hundred sixty-eight thousand, eight hundred".