9892912612320 has 288 divisors, whose sum is σ = 34673342505984. Its totient is φ = 2567040000000.

The previous prime is 9892912612309. The next prime is 9892912612321. The reversal of 9892912612320 is 232162192989.

9892912612320 is a `hidden beast` number, since 9 + 8 + 9 + 2 + 9 + 12 + 612 + 3 + 2 + 0 = 666.

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

It is a super-3 number, since 3×9892912612320³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9892912612321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22393570 + ... + 22831070.

It is an arithmetic number, because the mean of its divisors is an integer number (120393550368).

Almost surely, 2^{9892912612320} is an apocalyptic number.

9892912612320 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 9892912612320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336671252992).

9892912612320 is an abundant number, since it is smaller than the sum of its proper divisors (24780429893664).

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

9892912612320 is a wasteful number, since it uses less digits than its factorization.

9892912612320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437946 (or 437935 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 9892912612320 in words is "nine trillion, eight hundred ninety-two billion, nine hundred twelve million, six hundred twelve thousand, three hundred twenty".