10207738430208 has 288 divisors, whose sum is σ = 34065801100800. Its totient is φ = 2986589491200.

The previous prime is 10207738430207. The next prime is 10207738430293. The reversal of 10207738430208 is 80203483770201.

10207738430208 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 7 + 7 + 3 + 8 + 430 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (10207738430207) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 109828 + ... + 4519683.

It is an arithmetic number, because the mean of its divisors is an integer number (118284031600).

Almost surely, 2^{10207738430208} is an apocalyptic number.

10207738430208 is a gapful number since it is divisible by the number (18) 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 10207738430208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17032900550400).

10207738430208 is an abundant number, since it is smaller than the sum of its proper divisors (23858062670592).

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

10207738430208 is a wasteful number, since it uses less digits than its factorization.

10207738430208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629576 (or 4629556 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 10207738430208 in words is "ten trillion, two hundred seven billion, seven hundred thirty-eight million, four hundred thirty thousand, two hundred eight".