10168315334800 has 240 divisors, whose sum is σ = 28047361600000. Its totient is φ = 3470310604800.

The previous prime is 10168315334687. The next prime is 10168315334809. The reversal of 10168315334800 is 843351386101.

It is not an unprimeable number, because it can be changed into a prime (10168315334809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947735836 + ... + 947746564.

Almost surely, 2^{10168315334800} is an apocalyptic number.

10168315334800 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 10168315334800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14023680800000).

10168315334800 is an abundant number, since it is smaller than the sum of its proper divisors (17879046265200).

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

10168315334800 is a wasteful number, since it uses less digits than its factorization.

10168315334800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12274 (or 12263 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 10168315334800 in words is "ten trillion, one hundred sixty-eight billion, three hundred fifteen million, three hundred thirty-four thousand, eight hundred".