9906806115072 has 216 divisors, whose sum is σ = 29666495935440. Its totient is φ = 3175689216000.

The previous prime is 9906806115071. The next prime is 9906806115077. The reversal of 9906806115072 is 2705116086099.

It is not an unprimeable number, because it can be changed into a prime (9906806115071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16475458 + ... + 17066174.

It is an arithmetic number, because the mean of its divisors is an integer number (137344888590).

Almost surely, 2^{9906806115072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9906806115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14833247967720).

9906806115072 is an abundant number, since it is smaller than the sum of its proper divisors (19759689820368).

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

9906806115072 is a wasteful number, since it uses less digits than its factorization.

9906806115072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591019 (or 591002 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 9906806115072 in words is "nine trillion, nine hundred six billion, eight hundred six million, one hundred fifteen thousand, seventy-two".