98160672960 has 1120 divisors, whose sum is σ = 416162947200. Its totient is φ = 21946982400.

The previous prime is 98160672959. The next prime is 98160672989. The reversal of 98160672960 is 6927606189.

98160672960 is a `hidden beast` number, since 9 + 8 + 1 + 606 + 7 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 = 98160672897 and 98160672906.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 542324070 + ... + 542324250.

It is an arithmetic number, because the mean of its divisors is an integer number (371574060).

Almost surely, 2^98160672960 is an apocalyptic number.

98160672960 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 98160672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208081473600).

98160672960 is an abundant number, since it is smaller than the sum of its proper divisors (318002274240).

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

98160672960 is a wasteful number, since it uses less digits than its factorization.

98160672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 98160672960 in words is "ninety-eight billion, one hundred sixty million, six hundred seventy-two thousand, nine hundred sixty".