9905056800 has 288 divisors, whose sum is σ = 34483542912. Its totient is φ = 2460794880.

The previous prime is 9905056753. The next prime is 9905056831. The reversal of 9905056800 is 86505099.

It is a super-2 number, since 2×9905056800² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 4201222 + ... + 4203578.

It is an arithmetic number, because the mean of its divisors is an integer number (119734524).

Almost surely, 2^9905056800 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 9905056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17241771456).

9905056800 is an abundant number, since it is smaller than the sum of its proper divisors (24578486112).

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

9905056800 is a wasteful number, since it uses less digits than its factorization.

9905056800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 9905056800 is about 99524.1518426558. The cubic root of 9905056800 is about 2147.5946996673.

It can be divided in two parts, 990 and 5056800, that added together give a triangular number (5057790 = T₃₁₈₀).

The spelling of 9905056800 in words is "nine billion, nine hundred five million, fifty-six thousand, eight hundred".