98803884441600 has 2160 divisors, whose sum is σ = 390337503519600. Its totient is φ = 23743954944000.

The previous prime is 98803884441589. The next prime is 98803884441631. The reversal of 98803884441600 is 614448830889.

98803884441600 is a `hidden beast` number, since 9 + 8 + 80 + 38 + 84 + 441 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 70289309712384 + 28514574729216 = 8383872^2 + 5339904^2 .

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 143 ways as a sum of consecutive naturals, for example, 663113318326 + ... + 663113318474.

It is an arithmetic number, because the mean of its divisors is an integer number (180711807185).

Almost surely, 2^{98803884441600} is an apocalyptic number.

98803884441600 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 98803884441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195168751759800).

98803884441600 is an abundant number, since it is smaller than the sum of its proper divisors (291533619078000).

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

98803884441600 is a wasteful number, since it uses less digits than its factorization.

98803884441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 98803884441600 in words is "ninety-eight trillion, eight hundred three billion, eight hundred eighty-four million, four hundred forty-one thousand, six hundred".