98684127360 has 1536 divisors, whose sum is σ = 459080294400. Its totient is φ = 19671662592.

The previous prime is 98684127331. The next prime is 98684127391. The reversal of 98684127360 is 6372148689.

98684127360 is a `hidden beast` number, since 9 + 86 + 84 + 127 + 360 = 666.

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 = 98684127297 and 98684127306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 268893897 + ... + 268894263.

It is an arithmetic number, because the mean of its divisors is an integer number (298880400).

Almost surely, 2^98684127360 is an apocalyptic number.

98684127360 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 98684127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229540147200).

98684127360 is an abundant number, since it is smaller than the sum of its proper divisors (360396167040).

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

98684127360 is a wasteful number, since it uses less digits than its factorization.

98684127360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 98684127360 in words is "ninety-eight billion, six hundred eighty-four million, one hundred twenty-seven thousand, three hundred sixty".