11982908784 has 240 divisors, whose sum is σ = 39042501120. Its totient is φ = 3099993600.

The previous prime is 11982908783. The next prime is 11982908831. The reversal of 11982908784 is 48780928911.

11982908784 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 (11982908783) 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 47 ways as a sum of consecutive naturals, for example, 14595094 + ... + 14595914.

It is an arithmetic number, because the mean of its divisors is an integer number (162677088).

Almost surely, 2^11982908784 is an apocalyptic number.

11982908784 is a gapful number since it is divisible by the number (14) 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 11982908784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19521250560).

11982908784 is an abundant number, since it is smaller than the sum of its proper divisors (27059592336).

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

11982908784 is a wasteful number, since it uses less digits than its factorization.

11982908784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 57.

The spelling of 11982908784 in words is "eleven billion, nine hundred eighty-two million, nine hundred eight thousand, seven hundred eighty-four".