98081324400 has 240 divisors, whose sum is σ = 318193527168. Its totient is φ = 25823616000.

The previous prime is 98081324389. The next prime is 98081324437. The reversal of 98081324400 is 442318089.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 33167722 + ... + 33170678.

Almost surely, 2^98081324400 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 98081324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159096763584).

98081324400 is an abundant number, since it is smaller than the sum of its proper divisors (220112202768).

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

98081324400 is a wasteful number, since it uses less digits than its factorization.

98081324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 98081324400 in words is "ninety-eight billion, eighty-one million, three hundred twenty-four thousand, four hundred".