9913804800 has 576 divisors, whose sum is σ = 35747712000. Its totient is φ = 2415329280.

The previous prime is 9913804777. The next prime is 9913804801. The reversal of 9913804800 is 84083199.

It is a super-2 number, since 2×9913804800² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9913804801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125491161 + ... + 125491239.

It is an arithmetic number, because the mean of its divisors is an integer number (62062000).

Almost surely, 2^9913804800 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 9913804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17873856000).

9913804800 is an abundant number, since it is smaller than the sum of its proper divisors (25833907200).

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

9913804800 is a wasteful number, since it uses less digits than its factorization.

9913804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 9913804800 is about 99568.0912742632. The cubic root of 9913804800 is about 2148.2267549456.

Adding to 9913804800 its reverse (84083199), we get a palindrome (9997887999).

The spelling of 9913804800 in words is "nine billion, nine hundred thirteen million, eight hundred four thousand, eight hundred".