98319680890200 has 3456 divisors, whose sum is σ = 474374403720000. Its totient is φ = 18562270003200.

The previous prime is 98319680890187. The next prime is 98319680890201. The reversal of 98319680890200 is 209808691389.

98319680890200 is a `hidden beast` number, since 9 + 83 + 196 + 80 + 8 + 90 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98319680890201) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 15784180686 + ... + 15784186914.

Almost surely, 2^{98319680890200} is an apocalyptic number.

98319680890200 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 98319680890200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237187201860000).

98319680890200 is an abundant number, since it is smaller than the sum of its proper divisors (376054722829800).

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

98319680890200 is a wasteful number, since it uses less digits than its factorization.

98319680890200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6336 (or 6303 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 98319680890200 in words is "ninety-eight trillion, three hundred nineteen billion, six hundred eighty million, eight hundred ninety thousand, two hundred".