9898572600 has 480 divisors, whose sum is σ = 40267735200. Its totient is φ = 2206310400.

The previous prime is 9898572539. The next prime is 9898572647. The reversal of 9898572600 is 62758989.

It is a happy number.

9898572600 is a `hidden beast` number, since 9 + 8 + 9 + 8 + 572 + 60 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 4648336 + ... + 4650464.

It is an arithmetic number, because the mean of its divisors is an integer number (83891115).

Almost surely, 2^9898572600 is an apocalyptic number.

9898572600 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 9898572600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20133867600).

9898572600 is an abundant number, since it is smaller than the sum of its proper divisors (30369162600).

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

9898572600 is a wasteful number, since it uses less digits than its factorization.

9898572600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2187 counting only the distinct ones).

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

The square root of 9898572600 is about 99491.5704972034. The cubic root of 9898572600 is about 2147.1259669236.

The spelling of 9898572600 in words is "nine billion, eight hundred ninety-eight million, five hundred seventy-two thousand, six hundred".