9992457820800 has 2688 divisors, whose sum is σ = 46093413999360. Its totient is φ = 2083261317120.

The previous prime is 9992457820781. The next prime is 9992457820841. The reversal of 9992457820800 is 80287542999.

It is a happy number.

9992457820800 is a `hidden beast` number, since 99 + 92 + 457 + 8 + 2 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 335 ways as a sum of consecutive naturals, for example, 21865334172 + ... + 21865334628.

It is an arithmetic number, because the mean of its divisors is an integer number (17147847470).

Almost surely, 2^{9992457820800} is an apocalyptic number.

9992457820800 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 9992457820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23046706999680).

9992457820800 is an abundant number, since it is smaller than the sum of its proper divisors (36100956178560).

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

9992457820800 is a wasteful number, since it uses less digits than its factorization.

9992457820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 9992457820800 in words is "nine trillion, nine hundred ninety-two billion, four hundred fifty-seven million, eight hundred twenty thousand, eight hundred".