12858007033728 has 192 divisors, whose sum is σ = 37303702956000. Its totient is φ = 4250988048384.

The previous prime is 12858007033709. The next prime is 12858007033783. The reversal of 12858007033728 is 82733070085821.

12858007033728 is a `hidden beast` number, since 1 + 2 + 8 + 580 + 0 + 7 + 0 + 3 + 37 + 28 = 666.

12858007033728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72583150 + ... + 72760082.

Almost surely, 2^{12858007033728} is an apocalyptic number.

12858007033728 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 12858007033728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18651851478000).

12858007033728 is an abundant number, since it is smaller than the sum of its proper divisors (24445695922272).

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

12858007033728 is a wasteful number, since it uses less digits than its factorization.

12858007033728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177469 (or 177454 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 12858007033728 in words is "twelve trillion, eight hundred fifty-eight billion, seven million, thirty-three thousand, seven hundred twenty-eight".