10006826725218 has 32 divisors (see below), whose sum is σ = 20075416416000. Its totient is φ = 3325322938896.

The previous prime is 10006826725183. The next prime is 10006826725249. The reversal of 10006826725218 is 81252762860001.

10006826725218 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 2×10006826725218² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4119633 + ... + 6081531.

It is an arithmetic number, because the mean of its divisors is an integer number (627356763000).

Almost surely, 2^{10006826725218} is an apocalyptic number.

10006826725218 is an abundant number, since it is smaller than the sum of its proper divisors (10068589690782).

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

10006826725218 is a wasteful number, since it uses less digits than its factorization.

10006826725218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964526.

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 10006826725218 in words is "ten trillion, six billion, eight hundred twenty-six million, seven hundred twenty-five thousand, two hundred eighteen".