98598942090000 has 3375 divisors, whose sum is σ = 423559123804201. Its totient is φ = 22115427840000.

The previous prime is 98598942089971. The next prime is 98598942090023. The reversal of 98598942090000 is 9024989589.

The square root of 98598942090000 is 9929700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 48151219835664 + 50447722254336 = 6939108^2 + 7102656^2 .

It is a tau number, because it is divible by the number of its divisors (3375).

It is a self number, because there is not a number n which added to its sum of digits gives 98598942090000.

It is an unprimeable number.

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 674 ways as a sum of consecutive naturals, for example, 1671168509971 + ... + 1671168510029.

Almost surely, 2^{98598942090000} is an apocalyptic number.

98598942090000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

98598942090000 is the 9929700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98598942090000

98598942090000 is an abundant number, since it is smaller than the sum of its proper divisors (324960181714201).

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

98598942090000 is a wasteful number, since it uses less digits than its factorization.

98598942090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 98598942090000 in words is "ninety-eight trillion, five hundred ninety-eight billion, nine hundred forty-two million, ninety thousand".