98000727552 has 960 divisors, whose sum is σ = 376175923200. Its totient is φ = 24942919680.

The previous prime is 98000727497. The next prime is 98000727569. The reversal of 98000727552 is 25572700089.

It is a happy number.

98000727552 is a `hidden beast` number, since 98 + 0 + 0 + 0 + 7 + 2 + 7 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 98000727498 and 98000727507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 272982349 + ... + 272982707.

It is an arithmetic number, because the mean of its divisors is an integer number (391849920).

Almost surely, 2^98000727552 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 98000727552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188087961600).

98000727552 is an abundant number, since it is smaller than the sum of its proper divisors (278175195648).

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

98000727552 is a wasteful number, since it uses less digits than its factorization.

98000727552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 98000727552 in words is "ninety-eight billion, seven hundred twenty-seven thousand, five hundred fifty-two".