11533761115968 has 448 divisors, whose sum is σ = 38157345185792. Its totient is φ = 2993568399360.

The previous prime is 11533761115967. The next prime is 11533761115973. The reversal of 11533761115968 is 86951116733511.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11533761115967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 590526363 + ... + 590545893.

It is an arithmetic number, because the mean of its divisors is an integer number (85172645504).

Almost surely, 2^{11533761115968} 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 11533761115968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19078672592896).

11533761115968 is an abundant number, since it is smaller than the sum of its proper divisors (26623584069824).

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

11533761115968 is a wasteful number, since it uses less digits than its factorization.

11533761115968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20102 (or 20092 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 57.

The spelling of 11533761115968 in words is "eleven trillion, five hundred thirty-three billion, seven hundred sixty-one million, one hundred fifteen thousand, nine hundred sixty-eight".