10008353203200 has 396 divisors, whose sum is σ = 39092343705168. Its totient is φ = 2426266828800.

The previous prime is 10008353203159. The next prime is 10008353203237. The reversal of 10008353203200 is 230235380001.

10008353203200 is a `hidden beast` number, since 10 + 0 + 0 + 8 + 3 + 5 + 320 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 559899 + ... + 4508901.

Almost surely, 2^{10008353203200} is an apocalyptic number.

10008353203200 is a gapful number since it is divisible by the number (10) 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 10008353203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19546171852584).

10008353203200 is an abundant number, since it is smaller than the sum of its proper divisors (29083990501968).

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

10008353203200 is a wasteful number, since it uses less digits than its factorization.

10008353203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949050 (or 3949024 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10008353203200 its reverse (230235380001), we get a palindrome (10238588583201).

The spelling of 10008353203200 in words is "ten trillion, eight billion, three hundred fifty-three million, two hundred three thousand, two hundred".