11519733283968 has 576 divisors, whose sum is σ = 38886108760800. Its totient is φ = 3011191013376.

The previous prime is 11519733283963. The next prime is 11519733284009. The reversal of 11519733283968 is 86938233791511.

It is a junction number, because it is equal to n+sod(n) for n = 11519733283899 and 11519733283908.

It is not an unprimeable number, because it can be changed into a prime (11519733283963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 359313123 + ... + 359345181.

Almost surely, 2^{11519733283968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11519733283968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19443054380400).

11519733283968 is an abundant number, since it is smaller than the sum of its proper divisors (27366375476832).

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

11519733283968 is a wasteful number, since it uses less digits than its factorization.

11519733283968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32229 (or 32197 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 66.

The spelling of 11519733283968 in words is "eleven trillion, five hundred nineteen billion, seven hundred thirty-three million, two hundred eighty-three thousand, nine hundred sixty-eight".