9598118400 has 1080 divisors, whose sum is σ = 40740422580. Its totient is φ = 2146959360.

The previous prime is 9598118377. The next prime is 9598118471. The reversal of 9598118400 is 48118959.

9598118400 is a `hidden beast` number, since 9 + 598 + 1 + 18 + 40 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 1271920896 + 8326197504 = 35664^2 + 91248^2 .

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

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 107 ways as a sum of consecutive naturals, for example, 330969586 + ... + 330969614.

Almost surely, 2^9598118400 is an apocalyptic number.

9598118400 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 9598118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20370211290).

9598118400 is an abundant number, since it is smaller than the sum of its proper divisors (31142304180).

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

9598118400 is a wasteful number, since it uses less digits than its factorization.

9598118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 9598118400 is about 97969.9872409913. The cubic root of 9598118400 is about 2125.1782752394.

The spelling of 9598118400 in words is "nine billion, five hundred ninety-eight million, one hundred eighteen thousand, four hundred".