98560834560 has 704 divisors, whose sum is σ = 366612787200. Its totient is φ = 25082265600.

The previous prime is 98560834459. The next prime is 98560834627. The reversal of 98560834560 is 6543806589.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 98560834497 and 98560834506.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 467112855 + ... + 467113065.

It is an arithmetic number, because the mean of its divisors is an integer number (520756800).

Almost surely, 2^98560834560 is an apocalyptic number.

98560834560 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 98560834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183306393600).

98560834560 is an abundant number, since it is smaller than the sum of its proper divisors (268051952640).

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

98560834560 is a wasteful number, since it uses less digits than its factorization.

98560834560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 98560834560 in words is "ninety-eight billion, five hundred sixty million, eight hundred thirty-four thousand, five hundred sixty".