98135052288 has 832 divisors, whose sum is σ = 352278528000. Its totient is φ = 23569367040.

The previous prime is 98135052271. The next prime is 98135052371. The reversal of 98135052288 is 88225053189.

It is a tau number, because it is divible by the number of its divisors (832).

It is a self number, because there is not a number n which added to its sum of digits gives 98135052288.

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 63 ways as a sum of consecutive naturals, for example, 658624438 + ... + 658624586.

Almost surely, 2^98135052288 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 98135052288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176139264000).

98135052288 is an abundant number, since it is smaller than the sum of its proper divisors (254143475712).

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

98135052288 is a wasteful number, since it uses less digits than its factorization.

98135052288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

Subtracting from 98135052288 its reverse (88225053189), we obtain a palindrome (9909999099).

The spelling of 98135052288 in words is "ninety-eight billion, one hundred thirty-five million, fifty-two thousand, two hundred eighty-eight".