98535560760 has 384 divisors, whose sum is σ = 403760972160. Its totient is φ = 20282572800.

The previous prime is 98535560749. The next prime is 98535560777. The reversal of 98535560760 is 6706553589.

98535560760 is a `hidden beast` number, since 9 + 8 + 5 + 3 + 5 + 560 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 98535560697 and 98535560706.

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 95 ways as a sum of consecutive naturals, for example, 1306480 + ... + 1379840.

It is an arithmetic number, because the mean of its divisors is an integer number (1051460865).

Almost surely, 2^98535560760 is an apocalyptic number.

98535560760 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 98535560760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201880486080).

98535560760 is an abundant number, since it is smaller than the sum of its proper divisors (305225411400).

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

98535560760 is a wasteful number, since it uses less digits than its factorization.

98535560760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73439 (or 73432 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 98535560760 in words is "ninety-eight billion, five hundred thirty-five million, five hundred sixty thousand, seven hundred sixty".