98435128896 has 252 divisors, whose sum is σ = 306870445440. Its totient is φ = 30153876480.

The previous prime is 98435128877. The next prime is 98435128903. The reversal of 98435128896 is 69882153489.

98435128896 is a `hidden beast` number, since 98 + 435 + 1 + 28 + 8 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23263101 + ... + 23267331.

Almost surely, 2^98435128896 is an apocalyptic number.

98435128896 is a gapful number since it is divisible by the number (96) 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 98435128896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153435222720).

98435128896 is an abundant number, since it is smaller than the sum of its proper divisors (208435316544).

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

98435128896 is a wasteful number, since it uses less digits than its factorization.

98435128896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4514 (or 4488 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 98435128896 in words is "ninety-eight billion, four hundred thirty-five million, one hundred twenty-eight thousand, eight hundred ninety-six".