98686270080 has 256 divisors, whose sum is σ = 349806470400. Its totient is φ = 26294317056.

The previous prime is 98686270063. The next prime is 98686270103. The reversal of 98686270080 is 8007268689.

98686270080 is a `hidden beast` number, since 9 + 8 + 6 + 8 + 627 + 0 + 0 + 8 + 0 = 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 = 98686269999 and 98686270026.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40727749 + ... + 40730171.

It is an arithmetic number, because the mean of its divisors is an integer number (1366431525).

Almost surely, 2^98686270080 is an apocalyptic number.

98686270080 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 98686270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174903235200).

98686270080 is an abundant number, since it is smaller than the sum of its proper divisors (251120200320).

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

98686270080 is a wasteful number, since it uses less digits than its factorization.

98686270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4808 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 98686270080 in words is "ninety-eight billion, six hundred eighty-six million, two hundred seventy thousand, eighty".