9852928129600 has 336 divisors, whose sum is σ = 25484014543680. Its totient is φ = 3744160358400.

The previous prime is 9852928129537. The next prime is 9852928129637. The reversal of 9852928129600 is 69218292589.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4436256490 + ... + 4436258710.

It is an arithmetic number, because the mean of its divisors is an integer number (75845281380).

Almost surely, 2^{9852928129600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9852928129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12742007271840).

9852928129600 is an abundant number, since it is smaller than the sum of its proper divisors (15631086414080).

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

9852928129600 is a wasteful number, since it uses less digits than its factorization.

9852928129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 61.

The spelling of 9852928129600 in words is "nine trillion, eight hundred fifty-two billion, nine hundred twenty-eight million, one hundred twenty-nine thousand, six hundred".