11783339782272 has 256 divisors, whose sum is σ = 36331610112000. Its totient is φ = 3755278402560.

The previous prime is 11783339782237. The next prime is 11783339782283. The reversal of 11783339782272 is 27228793338711.

It is a happy number.

11783339782272 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 3 + 339 + 78 + 227 + 2 = 666.

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 31 ways as a sum of consecutive naturals, for example, 8229729 + ... + 9554847.

It is an arithmetic number, because the mean of its divisors is an integer number (141920352000).

Almost surely, 2^{11783339782272} is an apocalyptic number.

11783339782272 is a gapful number since it is divisible by the number (12) 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 11783339782272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18165805056000).

11783339782272 is an abundant number, since it is smaller than the sum of its proper divisors (24548270329728).

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

11783339782272 is a wasteful number, since it uses less digits than its factorization.

11783339782272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325256 (or 1325238 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 63.

The spelling of 11783339782272 in words is "eleven trillion, seven hundred eighty-three billion, three hundred thirty-nine million, seven hundred eighty-two thousand, two hundred seventy-two".