12058433865936 has 240 divisors, whose sum is σ = 34657381249920. Its totient is φ = 3912317660160.

The previous prime is 12058433865853. The next prime is 12058433865967. The reversal of 12058433865936 is 63956833485021.

It is a happy number.

12058433865936 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 8 + 4 + 3 + 38 + 6 + 593 + 6 = 666.

12058433865936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 789621981 + ... + 789637251.

It is an arithmetic number, because the mean of its divisors is an integer number (144405755208).

Almost surely, 2^{12058433865936} is an apocalyptic number.

12058433865936 is a gapful number since it is divisible by the number (16) 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 12058433865936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17328690624960).

12058433865936 is an abundant number, since it is smaller than the sum of its proper divisors (22598947383984).

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

12058433865936 is a wasteful number, since it uses less digits than its factorization.

12058433865936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16154 (or 16145 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 12058433865936 in words is "twelve trillion, fifty-eight billion, four hundred thirty-three million, eight hundred sixty-five thousand, nine hundred thirty-six".