11819248056 has 384 divisors, whose sum is σ = 42057792000. Its totient is φ = 3066275520.

The previous prime is 11819248039. The next prime is 11819248081. The reversal of 11819248056 is 65084291811.

It is a happy number.

11819248056 is a `hidden beast` number, since 1 + 1 + 81 + 92 + 480 + 5 + 6 = 666.

11819248056 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 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, 14086885 + ... + 14087723.

It is an arithmetic number, because the mean of its divisors is an integer number (109525500).

Almost surely, 2^11819248056 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 11819248056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21028896000).

11819248056 is an abundant number, since it is smaller than the sum of its proper divisors (30238543944).

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

11819248056 is a wasteful number, since it uses less digits than its factorization.

11819248056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11819248056 in words is "eleven billion, eight hundred nineteen million, two hundred forty-eight thousand, fifty-six".