9805638427200 has 672 divisors, whose sum is σ = 44565439057920. Its totient is φ = 2037534566400.

The previous prime is 9805638427199. The next prime is 9805638427253. The reversal of 9805638427200 is 27248365089.

9805638427200 is a `hidden beast` number, since 9 + 8 + 0 + 5 + 6 + 3 + 8 + 427 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 1852489 + ... + 4800311.

Almost surely, 2^{9805638427200} is an apocalyptic number.

9805638427200 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 9805638427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22282719528960).

9805638427200 is an abundant number, since it is smaller than the sum of its proper divisors (34759800630720).

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

9805638427200 is a wasteful number, since it uses less digits than its factorization.

9805638427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947872 (or 2947851 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 9805638427200 in words is "nine trillion, eight hundred five billion, six hundred thirty-eight million, four hundred twenty-seven thousand, two hundred".