98200061568 has 384 divisors, whose sum is σ = 328321843200. Its totient is φ = 27594639360.

The previous prime is 98200061527. The next prime is 98200061569. The reversal of 98200061568 is 86516000289.

98200061568 is a `hidden beast` number, since 9 + 8 + 20 + 0 + 0 + 61 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (98200061569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158642763 + ... + 158643381.

It is an arithmetic number, because the mean of its divisors is an integer number (855004800).

Almost surely, 2^98200061568 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 98200061568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164160921600).

98200061568 is an abundant number, since it is smaller than the sum of its proper divisors (230121781632).

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

98200061568 is a wasteful number, since it uses less digits than its factorization.

98200061568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 98200061568 in words is "ninety-eight billion, two hundred million, sixty-one thousand, five hundred sixty-eight".