9089798400 has 432 divisors, whose sum is σ = 34170937920. Its totient is φ = 2362982400.

The previous prime is 9089798383. The next prime is 9089798413. The reversal of 9089798400 is 48979809.

9089798400 is a `hidden beast` number, since 90 + 89 + 79 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 7084159 + ... + 7085441.

Almost surely, 2^9089798400 is an apocalyptic number.

9089798400 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 9089798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17085468960).

9089798400 is an abundant number, since it is smaller than the sum of its proper divisors (25081139520).

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

9089798400 is a wasteful number, since it uses less digits than its factorization.

9089798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 9089798400 is about 95340.4342343793. The cubic root of 9089798400 is about 2086.9790225835.

The spelling of 9089798400 in words is "nine billion, eighty-nine million, seven hundred ninety-eight thousand, four hundred".