98066959200 has 720 divisors, whose sum is σ = 412886073600. Its totient is φ = 22187105280.

The previous prime is 98066959183. The next prime is 98066959201. The reversal of 98066959200 is 295966089.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98066959201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 46719751 + ... + 46721849.

It is an arithmetic number, because the mean of its divisors is an integer number (573452880).

Almost surely, 2^98066959200 is an apocalyptic number.

98066959200 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 98066959200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206443036800).

98066959200 is an abundant number, since it is smaller than the sum of its proper divisors (314819114400).

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

98066959200 is a wasteful number, since it uses less digits than its factorization.

98066959200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 98066959200 in words is "ninety-eight billion, sixty-six million, nine hundred fifty-nine thousand, two hundred".