11955904128 has 576 divisors, whose sum is σ = 43743067200. Its totient is φ = 3148720128.

The previous prime is 11955904127. The next prime is 11955904217. The reversal of 11955904128 is 82140955911.

11955904128 is a `hidden beast` number, since 1 + 19 + 5 + 590 + 41 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (11955904127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 323132526 + ... + 323132562.

It is an arithmetic number, because the mean of its divisors is an integer number (75942825).

Almost surely, 2^11955904128 is an apocalyptic number.

11955904128 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 11955904128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21871533600).

11955904128 is an abundant number, since it is smaller than the sum of its proper divisors (31787163072).

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

11955904128 is an equidigital number, since it uses as much as digits as its factorization.

11955904128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 11955904128 in words is "eleven billion, nine hundred fifty-five million, nine hundred four thousand, one hundred twenty-eight".