10068241624200 has 576 divisors, whose sum is σ = 34419215310480. Its totient is φ = 2637250560000.

The previous prime is 10068241624171. The next prime is 10068241624201. The reversal of 10068241624200 is 242614286001.

10068241624200 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 8 + 2 + 4 + 1 + 624 + 20 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 202699849284 + 9865541774916 = 450222^2 + 3140946^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10068241624201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14362683850 + ... + 14362684550.

Almost surely, 2^{10068241624200} is an apocalyptic number.

10068241624200 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 10068241624200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17209607655240).

10068241624200 is an abundant number, since it is smaller than the sum of its proper divisors (24350973686280).

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

10068241624200 is a wasteful number, since it uses less digits than its factorization.

10068241624200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10068241624200 in words is "ten trillion, sixty-eight billion, two hundred forty-one million, six hundred twenty-four thousand, two hundred".