10006611704208 has 800 divisors, whose sum is σ = 35319349774080. Its totient is φ = 2706997708800.

The previous prime is 10006611704191. The next prime is 10006611704209. The reversal of 10006611704208 is 80240711660001.

It is a happy number.

10006611704208 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 6 + 61 + 170 + 420 + 8 = 666.

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 (10006611704209) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2409487860 + ... + 2409492012.

Almost surely, 2^{10006611704208} is an apocalyptic number.

10006611704208 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 10006611704208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17659674887040).

10006611704208 is an abundant number, since it is smaller than the sum of its proper divisors (25312738069872).

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

10006611704208 is a wasteful number, since it uses less digits than its factorization.

10006611704208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4322 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10006611704208 in words is "ten trillion, six billion, six hundred eleven million, seven hundred four thousand, two hundred eight".