9956809800 has 288 divisors, whose sum is σ = 38997504000. Its totient is φ = 2275701120.

The previous prime is 9956809787. The next prime is 9956809829. The reversal of 9956809800 is 89086599.

It is a super-2 number, since 2×9956809800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 609337 + ... + 625463.

It is an arithmetic number, because the mean of its divisors is an integer number (135408000).

Almost surely, 2^9956809800 is an apocalyptic number.

9956809800 is a gapful number since it is divisible by the number (90) 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 9956809800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498752000).

9956809800 is an abundant number, since it is smaller than the sum of its proper divisors (29040694200).

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

9956809800 is a wasteful number, since it uses less digits than its factorization.

9956809800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16170 (or 16144 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 9956809800 is about 99783.8153209227. The cubic root of 9956809800 is about 2151.3285317056.

The spelling of 9956809800 in words is "nine billion, nine hundred fifty-six million, eight hundred nine thousand, eight hundred".