9956056032 has 288 divisors, whose sum is σ = 31880066400. Its totient is φ = 3038238720.

The previous prime is 9956056021. The next prime is 9956056037. The reversal of 9956056032 is 2306506599.

9956056032 is a `hidden beast` number, since 9 + 9 + 5 + 605 + 6 + 0 + 32 = 666.

9956056032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9956056037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15061782 + ... + 15062442.

It is an arithmetic number, because the mean of its divisors is an integer number (110694675).

Almost surely, 2^9956056032 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 9956056032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15940033200).

9956056032 is an abundant number, since it is smaller than the sum of its proper divisors (21924010368).

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

9956056032 is a wasteful number, since it uses less digits than its factorization.

9956056032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 9956056032 is about 99780.0382441298. The cubic root of 9956056032 is about 2151.2742424450.

The spelling of 9956056032 in words is "nine billion, nine hundred fifty-six million, fifty-six thousand, thirty-two".