98259111936 has 260 divisors, whose sum is σ = 297622704412. Its totient is φ = 32296402944.

The previous prime is 98259111887. The next prime is 98259111953. The reversal of 98259111936 is 63911195289.

98259111936 is a `hidden beast` number, since 9 + 8 + 2 + 591 + 1 + 19 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53084160000 + 45174951936 = 230400^2 + 212544^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24217620 + ... + 24221676.

Almost surely, 2^98259111936 is an apocalyptic number.

98259111936 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 98259111936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148811352206).

98259111936 is an abundant number, since it is smaller than the sum of its proper divisors (199363592476).

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

98259111936 is an equidigital number, since it uses as much as digits as its factorization.

98259111936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4135 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 54.

The spelling of 98259111936 in words is "ninety-eight billion, two hundred fifty-nine million, one hundred eleven thousand, nine hundred thirty-six".