9906856970256 has 675 divisors, whose sum is σ = 31531504243239. Its totient is φ = 3002277021696.

The previous prime is 9906856970249. The next prime is 9906856970267. The reversal of 9906856970256 is 6520796586099.

The square root of 9906856970256 is 3147516.

It is a perfect power (a square), and thus also a powerful number.

9906856970256 is a `hidden beast` number, since 9 + 9 + 0 + 6 + 8 + 569 + 7 + 0 + 2 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4608389584656 + 5298467385600 = 2146716^2 + 2301840^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 71272352235 + ... + 71272352373.

Almost surely, 2^{9906856970256} is an apocalyptic number.

9906856970256 is the 3147516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9906856970256

9906856970256 is an abundant number, since it is smaller than the sum of its proper divisors (21624647272983).

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

9906856970256 is a wasteful number, since it uses less digits than its factorization.

9906856970256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 9906856970256 in words is "nine trillion, nine hundred six billion, eight hundred fifty-six million, nine hundred seventy thousand, two hundred fifty-six".