12706628058 has 64 divisors (see below), whose sum is σ = 28760659200. Its totient is φ = 4157282880.

The previous prime is 12706628027. The next prime is 12706628059. The reversal of 12706628058 is 85082660721.

12706628058 is a `hidden beast` number, since 12 + 7 + 0 + 6 + 628 + 0 + 5 + 8 = 666.

It is a super-3 number, since 3×12706628058³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12706628059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1653048 + ... + 1660716.

It is an arithmetic number, because the mean of its divisors is an integer number (449385300).

Almost surely, 2^12706628058 is an apocalyptic number.

12706628058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12706628058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14380329600).

12706628058 is an abundant number, since it is smaller than the sum of its proper divisors (16054031142).

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

12706628058 is a wasteful number, since it uses less digits than its factorization.

12706628058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8244 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12706628058 in words is "twelve billion, seven hundred six million, six hundred twenty-eight thousand, fifty-eight".