12858289735104 has 224 divisors, whose sum is σ = 42351972192000. Its totient is φ = 3791141729280.

The previous prime is 12858289735091. The next prime is 12858289735121. The reversal of 12858289735104 is 40153798285821.

12858289735104 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 8 + 28 + 97 + 3 + 510 + 4 = 666.

12858289735104 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-2 number, since 2×12858289735104² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8438154 + ... + 9844745.

Almost surely, 2^{12858289735104} is an apocalyptic number.

It is an amenable number.

12858289735104 is an abundant number, since it is smaller than the sum of its proper divisors (29493682456896).

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

12858289735104 is a wasteful number, since it uses less digits than its factorization.

12858289735104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18282968 (or 18282952 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 12858289735104 in words is "twelve trillion, eight hundred fifty-eight billion, two hundred eighty-nine million, seven hundred thirty-five thousand, one hundred four".