98567598360 has 384 divisors, whose sum is σ = 375973021440. Its totient is φ = 20442240000.

The previous prime is 98567598359. The next prime is 98567598361. The reversal of 98567598360 is 6389576589.

It is an interprime number because it is at equal distance from previous prime (98567598359) and next prime (98567598361).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 98567598291 and 98567598300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98567598361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43787235 + ... + 43789485.

It is an arithmetic number, because the mean of its divisors is an integer number (979096410).

Almost surely, 2^98567598360 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 98567598360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187986510720).

98567598360 is an abundant number, since it is smaller than the sum of its proper divisors (277405423080).

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

98567598360 is a wasteful number, since it uses less digits than its factorization.

98567598360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 66.

The spelling of 98567598360 in words is "ninety-eight billion, five hundred sixty-seven million, five hundred ninety-eight thousand, three hundred sixty".