9807295164800 has 192 divisors, whose sum is σ = 28891927584000. Its totient is φ = 3216305326080.

The previous prime is 9807295164773. The next prime is 9807295164803. The reversal of 9807295164800 is 84615927089.

It is a self number, because there is not a number n which added to its sum of digits gives 9807295164800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9807295164803) by changing a digit.

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, 9002750 + ... + 10033149.

It is an arithmetic number, because the mean of its divisors is an integer number (150478789500).

Almost surely, 2^{9807295164800} is an apocalyptic number.

It is an amenable number.

9807295164800 is an abundant number, since it is smaller than the sum of its proper divisors (19084632419200).

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

9807295164800 is a wasteful number, since it uses less digits than its factorization.

9807295164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19035953 (or 19035936 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 59.

The spelling of 9807295164800 in words is "nine trillion, eight hundred seven billion, two hundred ninety-five million, one hundred sixty-four thousand, eight hundred".