9820657795200 has 192 divisors, whose sum is σ = 36967762096320. Its totient is φ = 2244721766400.

The previous prime is 9820657795147. The next prime is 9820657795313. The reversal of 9820657795200 is 25977560289.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (60).

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 23 ways as a sum of consecutive naturals, for example, 73003171 + ... + 73137570.

It is an arithmetic number, because the mean of its divisors is an integer number (192540427585).

Almost surely, 2^{9820657795200} is an apocalyptic number.

It is an amenable number.

9820657795200 is an abundant number, since it is smaller than the sum of its proper divisors (27147104301120).

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

9820657795200 is a wasteful number, since it uses less digits than its factorization.

9820657795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146140775 (or 146140758 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 60.

The spelling of 9820657795200 in words is "nine trillion, eight hundred twenty billion, six hundred fifty-seven million, seven hundred ninety-five thousand, two hundred".