98035116000 has 192 divisors, whose sum is σ = 321444002880. Its totient is φ = 26119833600.

The previous prime is 98035115999. The next prime is 98035116001. The reversal of 98035116000 is 61153089.

It is an interprime number because it is at equal distance from previous prime (98035115999) and next prime (98035116001).

It is a super-2 number, since 2×98035116000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98035116001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17145142 + ... + 17150858.

It is an arithmetic number, because the mean of its divisors is an integer number (1674187515).

Almost surely, 2^98035116000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98035116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160722001440).

98035116000 is an abundant number, since it is smaller than the sum of its proper divisors (223408886880).

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

98035116000 is a wasteful number, since it uses less digits than its factorization.

98035116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7174 (or 7156 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

Adding to 98035116000 its reverse (61153089), we get a palindrome (98096269089).

The spelling of 98035116000 in words is "ninety-eight billion, thirty-five million, one hundred sixteen thousand".