11965748460288 has 576 divisors, whose sum is σ = 41355856281600. Its totient is φ = 2991184035840.

The previous prime is 11965748460287. The next prime is 11965748460353. The reversal of 11965748460288 is 88206484756911.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (11965748460287) 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, 68042233 + ... + 68217863.

It is an arithmetic number, because the mean of its divisors is an integer number (71798361600).

Almost surely, 2^{11965748460288} 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 11965748460288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20677928140800).

11965748460288 is an abundant number, since it is smaller than the sum of its proper divisors (29390107821312).

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

11965748460288 is a wasteful number, since it uses less digits than its factorization.

11965748460288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175728 (or 175714 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 69.

The spelling of 11965748460288 in words is "eleven trillion, nine hundred sixty-five billion, seven hundred forty-eight million, four hundred sixty thousand, two hundred eighty-eight".