98083666560 has 512 divisors, whose sum is σ = 364990924800. Its totient is φ = 22151577600.

The previous prime is 98083666553. The next prime is 98083666561. The reversal of 98083666560 is 6566638089.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 98083666560.

It is not an unprimeable number, because it can be changed into a prime (98083666561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24476077 + ... + 24480083.

It is an arithmetic number, because the mean of its divisors is an integer number (712872900).

Almost surely, 2^98083666560 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 98083666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182495462400).

98083666560 is an abundant number, since it is smaller than the sum of its proper divisors (266907258240).

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

98083666560 is a wasteful number, since it uses less digits than its factorization.

98083666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 98083666560 in words is "ninety-eight billion, eighty-three million, six hundred sixty-six thousand, five hundred sixty".