9905296500 has 576 divisors, whose sum is σ = 36796032000. Its totient is φ = 2216448000.

The previous prime is 9905296459. The next prime is 9905296501. The reversal of 9905296500 is 56925099.

9905296500 is a `hidden beast` number, since 9 + 9 + 0 + 52 + 96 + 500 = 666.

9905296500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9905296500² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9905296501) 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 191 ways as a sum of consecutive naturals, for example, 66478426 + ... + 66478574.

It is an arithmetic number, because the mean of its divisors is an integer number (63882000).

Almost surely, 2^9905296500 is an apocalyptic number.

9905296500 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 9905296500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18398016000).

9905296500 is an abundant number, since it is smaller than the sum of its proper divisors (26890735500).

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

9905296500 is a wasteful number, since it uses less digits than its factorization.

9905296500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 9905296500 is about 99525.3560656781. The cubic root of 9905296500 is about 2147.6120232865.

The spelling of 9905296500 in words is "nine billion, nine hundred five million, two hundred ninety-six thousand, five hundred".