11965345960 has 64 divisors (see below), whose sum is σ = 28612083600. Its totient is φ = 4487786496.

The previous prime is 11965345949. The next prime is 11965345967. The reversal of 11965345960 is 6954356911.

It can be written as a sum of positive squares in 8 ways, for example, as 2475858564 + 9489487396 = 49758^2 + 97414^2 .

It is not an unprimeable number, because it can be changed into a prime (11965345967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150214 + ... + 215626.

Almost surely, 2^11965345960 is an apocalyptic number.

11965345960 is a gapful number since it is divisible by the number (10) 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 11965345960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14306041800).

11965345960 is an abundant number, since it is smaller than the sum of its proper divisors (16646737640).

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

11965345960 is a wasteful number, since it uses less digits than its factorization.

11965345960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65710 (or 65706 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 49.

The spelling of 11965345960 in words is "eleven billion, nine hundred sixty-five million, three hundred forty-five thousand, nine hundred sixty".