9916358400 has 1296 divisors, whose sum is σ = 43591897440. Its totient is φ = 2123366400.

The previous prime is 9916358369. The next prime is 9916358401. The reversal of 9916358400 is 48536199.

It is a happy number.

9916358400 is a `hidden beast` number, since 9 + 9 + 1 + 63 + 584 + 0 + 0 = 666.

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 (9916358401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 241862380 + ... + 241862420.

Almost surely, 2^9916358400 is an apocalyptic number.

9916358400 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 9916358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21795948720).

9916358400 is an abundant number, since it is smaller than the sum of its proper divisors (33675539040).

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

9916358400 is a wasteful number, since it uses less digits than its factorization.

9916358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9916358400 is about 99580.9138339270. The cubic root of 9916358400 is about 2148.4111860164.

The spelling of 9916358400 in words is "nine billion, nine hundred sixteen million, three hundred fifty-eight thousand, four hundred".