9898257600 has 1008 divisors, whose sum is σ = 44809989120. Its totient is φ = 2012774400.

The previous prime is 9898257571. The next prime is 9898257619. The reversal of 9898257600 is 67528989.

It is a happy number.

9898257600 is a `hidden beast` number, since 9 + 8 + 9 + 8 + 25 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87595144 + ... + 87595256.

Almost surely, 2^9898257600 is an apocalyptic number.

9898257600 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 9898257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22404994560).

9898257600 is an abundant number, since it is smaller than the sum of its proper divisors (34911731520).

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

9898257600 is a wasteful number, since it uses less digits than its factorization.

9898257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 9898257600 is about 99489.9874359224. The cubic root of 9898257600 is about 2147.1031908500.

The spelling of 9898257600 in words is "nine billion, eight hundred ninety-eight million, two hundred fifty-seven thousand, six hundred".