98282201600 has 720 divisors, whose sum is σ = 291536340480. Its totient is φ = 32710656000.

The previous prime is 98282201599. The next prime is 98282201659. The reversal of 98282201600 is 610228289.

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 71 ways as a sum of consecutive naturals, for example, 1104294356 + ... + 1104294444.

It is an arithmetic number, because the mean of its divisors is an integer number (404911584).

Almost surely, 2^98282201600 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 98282201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145768170240).

98282201600 is an abundant number, since it is smaller than the sum of its proper divisors (193254138880).

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

98282201600 is a wasteful number, since it uses less digits than its factorization.

98282201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

Adding to 98282201600 its reverse (610228289), we get a palindrome (98892429889).

The spelling of 98282201600 in words is "ninety-eight billion, two hundred eighty-two million, two hundred one thousand, six hundred".