98217730752960 has 448 divisors, whose sum is σ = 385451981171712. Its totient is φ = 20633918275584.

The previous prime is 98217730752943. The next prime is 98217730752991. The reversal of 98217730752960 is 6925703771289.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 98217730752891 and 98217730752900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17942247 + ... + 22767513.

It is an arithmetic number, because the mean of its divisors is an integer number (860383886544).

Almost surely, 2^{98217730752960} 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 98217730752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192725990585856).

98217730752960 is an abundant number, since it is smaller than the sum of its proper divisors (287234250418752).

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

98217730752960 is a wasteful number, since it uses less digits than its factorization.

98217730752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4825540 (or 4825530 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 66.

The spelling of 98217730752960 in words is "ninety-eight trillion, two hundred seventeen billion, seven hundred thirty million, seven hundred fifty-two thousand, nine hundred sixty".