98512225320960 has 720 divisors, whose sum is σ = 372760883651520. Its totient is φ = 23867849441280.

The previous prime is 98512225320947. The next prime is 98512225321061. The reversal of 98512225320960 is 6902352221589.

It is a happy number.

98512225320960 is a `hidden beast` number, since 9 + 8 + 5 + 1 + 2 + 225 + 320 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 98512225320897 and 98512225320906.

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, 23835523054 + ... + 23835527186.

It is an arithmetic number, because the mean of its divisors is an integer number (517723449516).

Almost surely, 2^{98512225320960} is an apocalyptic number.

98512225320960 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 98512225320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186380441825760).

98512225320960 is an abundant number, since it is smaller than the sum of its proper divisors (274248658330560).

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

98512225320960 is a wasteful number, since it uses less digits than its factorization.

98512225320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7122 (or 7093 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 98512225320960 in words is "ninety-eight trillion, five hundred twelve billion, two hundred twenty-five million, three hundred twenty thousand, nine hundred sixty".