10006704682788 has 96 divisors (see below), whose sum is σ = 25734828349440. Its totient is φ = 3001025200000.

The previous prime is 10006704682787. The next prime is 10006704682837. The reversal of 10006704682788 is 88728640760001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10006704682783) 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 31 ways as a sum of consecutive naturals, for example, 31183903 + ... + 31503161.

It is an arithmetic number, because the mean of its divisors is an integer number (268071128640).

Almost surely, 2^{10006704682788} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10006704682788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12867414174720).

10006704682788 is an abundant number, since it is smaller than the sum of its proper divisors (15728123666652).

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

10006704682788 is a wasteful number, since it uses less digits than its factorization.

10006704682788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321729 (or 321727 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 10006704682788 in words is "ten trillion, six billion, seven hundred four million, six hundred eighty-two thousand, seven hundred eighty-eight".