11965510759488 has 672 divisors, whose sum is σ = 38547834837120. Its totient is φ = 3229279027200.

The previous prime is 11965510759487. The next prime is 11965510759571. The reversal of 11965510759488 is 88495701556911.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11965510759487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15013187506 + ... + 15013188302.

It is an arithmetic number, because the mean of its divisors is an integer number (57362849460).

Almost surely, 2^{11965510759488} 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 11965510759488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19273917418560).

11965510759488 is an abundant number, since it is smaller than the sum of its proper divisors (26582324077632).

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

11965510759488 is a wasteful number, since it uses less digits than its factorization.

11965510759488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 69.

The spelling of 11965510759488 in words is "eleven trillion, nine hundred sixty-five billion, five hundred ten million, seven hundred fifty-nine thousand, four hundred eighty-eight".