11968000128 has 320 divisors, whose sum is σ = 41125518720. Its totient is φ = 3384115200.

The previous prime is 11968000127. The next prime is 11968000133. The reversal of 11968000128 is 82100086911.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11968000092 and 11968000101.

It is not an unprimeable number, because it can be changed into a prime (11968000127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7474528 + ... + 7476128.

It is an arithmetic number, because the mean of its divisors is an integer number (128517246).

Almost surely, 2^11968000128 is an apocalyptic number.

11968000128 is a gapful number since it is divisible by the number (18) 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 11968000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20562759360).

11968000128 is an abundant number, since it is smaller than the sum of its proper divisors (29157518592).

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

11968000128 is a wasteful number, since it uses less digits than its factorization.

11968000128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 11968000128 in words is "eleven billion, nine hundred sixty-eight million, one hundred twenty-eight", and thus it is an aban number.