11755855246128 has 640 divisors, whose sum is σ = 37971141120000. Its totient is φ = 3060398702592.

The previous prime is 11755855246073. The next prime is 11755855246129. The reversal of 11755855246128 is 82164255855711.

11755855246128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11755855246128³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11755855246129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6571187058 + ... + 6571188846.

It is an arithmetic number, because the mean of its divisors is an integer number (59329908000).

Almost surely, 2^{11755855246128} 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 11755855246128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18985570560000).

11755855246128 is an abundant number, since it is smaller than the sum of its proper divisors (26215285873872).

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

11755855246128 is a wasteful number, since it uses less digits than its factorization.

11755855246128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2231 counting only the distinct ones).

The product of its digits is 26880000, while the sum is 60.

The spelling of 11755855246128 in words is "eleven trillion, seven hundred fifty-five billion, eight hundred fifty-five million, two hundred forty-six thousand, one hundred twenty-eight".