98527319968 has 288 divisors, whose sum is σ = 269649051840. Its totient is φ = 34880348160.

The previous prime is 98527319927. The next prime is 98527319977. The reversal of 98527319968 is 86991372589.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8497471 + ... + 8509057.

It is an arithmetic number, because the mean of its divisors is an integer number (936281430).

Almost surely, 2^98527319968 is an apocalyptic number.

98527319968 is a gapful number since it is divisible by the number (98) 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 98527319968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134824525920).

98527319968 is an abundant number, since it is smaller than the sum of its proper divisors (171121731872).

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

98527319968 is a wasteful number, since it uses less digits than its factorization.

98527319968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11668 (or 11653 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 67.

The spelling of 98527319968 in words is "ninety-eight billion, five hundred twenty-seven million, three hundred nineteen thousand, nine hundred sixty-eight".