98810318880 has 720 divisors, whose sum is σ = 436892120280. Its totient is φ = 20846149632.

The previous prime is 98810318879. The next prime is 98810318891. The reversal of 98810318880 is 8881301889.

It can be written as a sum of positive squares in 4 ways, for example, as 37945481616 + 60864837264 = 194796^2 + 246708^2 .

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 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, 8249536 + ... + 8261504.

Almost surely, 2^98810318880 is an apocalyptic number.

98810318880 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 98810318880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218446060140).

98810318880 is an abundant number, since it is smaller than the sum of its proper divisors (338081801400).

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

98810318880 is a wasteful number, since it uses less digits than its factorization.

98810318880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12023 (or 11999 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 54.

The spelling of 98810318880 in words is "ninety-eight billion, eight hundred ten million, three hundred eighteen thousand, eight hundred eighty".