98102182890000 has 200 divisors, whose sum is σ = 316796522787360. Its totient is φ = 26151528704000.

The previous prime is 98102182889999. The next prime is 98102182890001. The reversal of 98102182890000 is 9828120189.

It is an interprime number because it is at equal distance from previous prime (98102182889999) and next prime (98102182890001).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (98102182890001) 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 39 ways as a sum of consecutive naturals, for example, 86345611 + ... + 87474389.

Almost surely, 2^{98102182890000} 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 98102182890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158398261393680).

98102182890000 is an abundant number, since it is smaller than the sum of its proper divisors (218694339897360).

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

98102182890000 is a wasteful number, since it uses less digits than its factorization.

98102182890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131707 (or 1131686 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 48.

The spelling of 98102182890000 in words is "ninety-eight trillion, one hundred two billion, one hundred eighty-two million, eight hundred ninety thousand".