98509301982 has 504 divisors, whose sum is σ = 287307291600. Its totient is φ = 25219434240.

The previous prime is 98509301971. The next prime is 98509301987. The reversal of 98509301982 is 28910390589.

98509301982 is a `hidden beast` number, since 98 + 509 + 30 + 19 + 8 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98509301987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 495021519 + ... + 495021717.

It is an arithmetic number, because the mean of its divisors is an integer number (570054150).

Almost surely, 2^98509301982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98509301982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143653645800).

98509301982 is an abundant number, since it is smaller than the sum of its proper divisors (188797989618).

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

98509301982 is a wasteful number, since it uses less digits than its factorization.

98509301982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 98509301982 in words is "ninety-eight billion, five hundred nine million, three hundred one thousand, nine hundred eighty-two".