10318956127872 has 256 divisors, whose sum is σ = 33087908536320. Its totient is φ = 2786813890560.

The previous prime is 10318956127801. The next prime is 10318956127891. The reversal of 10318956127872 is 27872165981301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2143158 + ... + 5023050.

It is an arithmetic number, because the mean of its divisors is an integer number (129249642720).

Almost surely, 2^{10318956127872} is an apocalyptic number.

10318956127872 is a gapful number since it is divisible by the number (12) 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 10318956127872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16543954268160).

10318956127872 is an abundant number, since it is smaller than the sum of its proper divisors (22768952408448).

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

10318956127872 is a wasteful number, since it uses less digits than its factorization.

10318956127872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879991 (or 2879979 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 60.

The spelling of 10318956127872 in words is "ten trillion, three hundred eighteen billion, nine hundred fifty-six million, one hundred twenty-seven thousand, eight hundred seventy-two".