9929850652800 has 1920 divisors, whose sum is σ = 41079517617600. Its totient is φ = 2345191833600.

The previous prime is 9929850652741. The next prime is 9929850652837. The reversal of 9929850652800 is 82560589299.

9929850652800 is a `hidden beast` number, since 9 + 9 + 29 + 85 + 0 + 6 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×9929850652800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 29999548635 + ... + 29999548965.

Almost surely, 2^{9929850652800} is an apocalyptic number.

9929850652800 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 9929850652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20539758808800).

9929850652800 is an abundant number, since it is smaller than the sum of its proper divisors (31149666964800).

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

9929850652800 is a wasteful number, since it uses less digits than its factorization.

9929850652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 9929850652800 in words is "nine trillion, nine hundred twenty-nine billion, eight hundred fifty million, six hundred fifty-two thousand, eight hundred".