9917098168320 has 1040 divisors, whose sum is σ = 41188987382400. Its totient is φ = 2235522613248.

The previous prime is 9917098168319. The next prime is 9917098168381. The reversal of 9917098168320 is 238618907199.

9917098168320 is a `hidden beast` number, since 9 + 9 + 170 + 9 + 81 + 68 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 847681831 + ... + 847693529.

It is an arithmetic number, because the mean of its divisors is an integer number (39604795560).

Almost surely, 2^{9917098168320} is an apocalyptic number.

9917098168320 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 9917098168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20594493691200).

9917098168320 is an abundant number, since it is smaller than the sum of its proper divisors (31271889214080).

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

9917098168320 is a wasteful number, since it uses less digits than its factorization.

9917098168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11820 (or 11789 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 9917098168320 in words is "nine trillion, nine hundred seventeen billion, ninety-eight million, one hundred sixty-eight thousand, three hundred twenty".