11938768105056 has 384 divisors, whose sum is σ = 37246370144256. Its totient is φ = 3313349591040.

The previous prime is 11938768105049. The next prime is 11938768105081. The reversal of 11938768105056 is 65050186783911.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67654570 + ... + 67830806.

It is an arithmetic number, because the mean of its divisors is an integer number (96995755584).

Almost surely, 2^{11938768105056} is an apocalyptic number.

11938768105056 is a gapful number since it is divisible by the number (16) 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 11938768105056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18623185072128).

11938768105056 is an abundant number, since it is smaller than the sum of its proper divisors (25307602039200).

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

11938768105056 is a wasteful number, since it uses less digits than its factorization.

11938768105056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176414 (or 176406 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 60.

The spelling of 11938768105056 in words is "eleven trillion, nine hundred thirty-eight billion, seven hundred sixty-eight million, one hundred five thousand, fifty-six".