98804345760 has 288 divisors, whose sum is σ = 363182496768. Its totient is φ = 24389038080.

The previous prime is 98804345747. The next prime is 98804345839. The reversal of 98804345760 is 6754340889.

98804345760 is a `hidden beast` number, since 98 + 8 + 0 + 43 + 457 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 98804345697 and 98804345706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 978604 + ... + 1074836.

It is an arithmetic number, because the mean of its divisors is an integer number (1261050336).

Almost surely, 2^98804345760 is an apocalyptic number.

98804345760 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 98804345760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181591248384).

98804345760 is an abundant number, since it is smaller than the sum of its proper divisors (264378151008).

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

98804345760 is a wasteful number, since it uses less digits than its factorization.

98804345760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96308 (or 96297 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 98804345760 in words is "ninety-eight billion, eight hundred four million, three hundred forty-five thousand, seven hundred sixty".