98757984568320 has 704 divisors, whose sum is σ = 437570597836800. Its totient is φ = 20521137438720.

The previous prime is 98757984568307. The next prime is 98757984568363. The reversal of 98757984568320 is 2386548975789.

98757984568320 is a `hidden beast` number, since 9 + 8 + 7 + 57 + 98 + 456 + 8 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a self number, because there is not a number n which added to its sum of digits gives 98757984568320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6005551 + ... + 15283409.

Almost surely, 2^{98757984568320} is an apocalyptic number.

98757984568320 is a gapful number since it is divisible by the number (90) 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 98757984568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218785298918400).

98757984568320 is an abundant number, since it is smaller than the sum of its proper divisors (338812613268480).

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

98757984568320 is a wasteful number, since it uses less digits than its factorization.

98757984568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9277911 (or 9277887 counting only the distinct ones).

The product of its (nonzero) digits is 7315660800, while the sum is 81.

The spelling of 98757984568320 in words is "ninety-eight trillion, seven hundred fifty-seven billion, nine hundred eighty-four million, five hundred sixty-eight thousand, three hundred twenty".