98017108800 has 672 divisors, whose sum is σ = 372509491200. Its totient is φ = 22358384640.

The previous prime is 98017108793. The next prime is 98017108801. The reversal of 98017108800 is 880171089.

It is a super-2 number, since 2×98017108800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98017108801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55722321 + ... + 55724079.

It is an arithmetic number, because the mean of its divisors is an integer number (554329600).

Almost surely, 2^98017108800 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 98017108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186254745600).

98017108800 is an abundant number, since it is smaller than the sum of its proper divisors (274492382400).

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

98017108800 is a wasteful number, since it uses less digits than its factorization.

98017108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 42.

Adding to 98017108800 its reverse (880171089), we get a palindrome (98897279889).

The spelling of 98017108800 in words is "ninety-eight billion, seventeen million, one hundred eight thousand, eight hundred".