11961616128 has 288 divisors, whose sum is σ = 40296560640. Its totient is φ = 3059527680.

The previous prime is 11961616127. The next prime is 11961616129. The reversal of 11961616128 is 82161616911.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11961616127) and next prime (11961616129).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 11961616128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11961616123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3960603 + ... + 3963621.

Almost surely, 2^11961616128 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 11961616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20148280320).

11961616128 is an abundant number, since it is smaller than the sum of its proper divisors (28334944512).

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

11961616128 is a wasteful number, since it uses less digits than its factorization.

11961616128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123 (or 3109 counting only the distinct ones).

The product of its digits is 31104, while the sum is 42.

The spelling of 11961616128 in words is "eleven billion, nine hundred sixty-one million, six hundred sixteen thousand, one hundred twenty-eight".