98410267200 has 420 divisors, whose sum is σ = 376700663920. Its totient is φ = 22491141120.

The previous prime is 98410267183. The next prime is 98410267201. The reversal of 98410267200 is 276201489.

It is a tau number, because it is divible by the number of its divisors (420).

It is not an unprimeable number, because it can be changed into a prime (98410267201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11520531 + ... + 11529069.

Almost surely, 2^98410267200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98410267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188350331960).

98410267200 is an abundant number, since it is smaller than the sum of its proper divisors (278290396720).

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

98410267200 is an equidigital number, since it uses as much as digits as its factorization.

98410267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8592 (or 8556 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

Adding to 98410267200 its reverse (276201489), we get a palindrome (98686468689).

The spelling of 98410267200 in words is "ninety-eight billion, four hundred ten million, two hundred sixty-seven thousand, two hundred".