9956992000 has 176 divisors, whose sum is σ = 25107159168. Its totient is φ = 3940147200.

The previous prime is 9956991977. The next prime is 9956992013. The reversal of 9956992000 is 2996599.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13695637 + ... + 13696363.

Almost surely, 2^9956992000 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 9956992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12553579584).

9956992000 is an abundant number, since it is smaller than the sum of its proper divisors (15150167168).

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

9956992000 is a wasteful number, since it uses less digits than its factorization.

9956992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 49.

The square root of 9956992000 is about 99784.7282904553. The cubic root of 9956992000 is about 2151.3416540368.

The spelling of 9956992000 in words is "nine billion, nine hundred fifty-six million, nine hundred ninety-two thousand".