10006821707665 has 8 divisors (see below), whose sum is σ = 12008487027240. Its totient is φ = 8005256714112.

The previous prime is 10006821707651. The next prime is 10006821707671. The reversal of 10006821707665 is 56670712860001.

It is a happy number.

10006821707665 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 876567807504 + 9130253900161 = 936252^2 + 3021631^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10006821707665 - 2⁷ = 10006821707537 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24861894 + ... + 25261183.

It is an arithmetic number, because the mean of its divisors is an integer number (1501060878405).

Almost surely, 2^{10006821707665} is an apocalyptic number.

It is an amenable number.

10006821707665 is a deficient number, since it is larger than the sum of its proper divisors (2001665319575).

10006821707665 is an equidigital number, since it uses as much as digits as its factorization.

10006821707665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50163011.

The product of its (nonzero) digits is 846720, while the sum is 49.

The spelling of 10006821707665 in words is "ten trillion, six billion, eight hundred twenty-one million, seven hundred seven thousand, six hundred sixty-five".