98680600200 has 1152 divisors, whose sum is σ = 410373734400. Its totient is φ = 19386501120.

The previous prime is 98680600189. The next prime is 98680600211. The reversal of 98680600200 is 200608689.

It is an interprime number because it is at equal distance from previous prime (98680600189) and next prime (98680600211).

It is a super-3 number, since 3×98680600200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 777012537 + ... + 777012663.

It is an arithmetic number, because the mean of its divisors is an integer number (356227200).

Almost surely, 2^98680600200 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 98680600200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205186867200).

98680600200 is an abundant number, since it is smaller than the sum of its proper divisors (311693134200).

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

98680600200 is a wasteful number, since it uses less digits than its factorization.

98680600200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 98680600200 in words is "ninety-eight billion, six hundred eighty million, six hundred thousand, two hundred".