10001745808128 has 432 divisors, whose sum is σ = 30964053993600. Its totient is φ = 3095430266880.

The previous prime is 10001745808051. The next prime is 10001745808129. The reversal of 10001745808128 is 82180854710001.

10001745808128 is a `hidden beast` number, since 100 + 0 + 17 + 458 + 0 + 81 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (10001745808129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 870392463 + ... + 870403953.

Almost surely, 2^{10001745808128} is an apocalyptic number.

10001745808128 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 10001745808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482026996800).

10001745808128 is an abundant number, since it is smaller than the sum of its proper divisors (20962308185472).

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

10001745808128 is a wasteful number, since it uses less digits than its factorization.

10001745808128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11928 (or 11911 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The spelling of 10001745808128 in words is "ten trillion, one billion, seven hundred forty-five million, eight hundred eight thousand, one hundred twenty-eight".