10004442266521 has 24 divisors (see below), whose sum is σ = 10776982584600. Its totient is φ = 9284477663232.

The previous prime is 10004442266513. The next prime is 10004442266561. The reversal of 10004442266521 is 12566224440001.

It can be written as a sum of positive squares in 12 ways, for example, as 1475641857600 + 8528800408921 = 1214760^2 + 2920411^2 .

It is not a de Polignac number, because 10004442266521 - 2³ = 10004442266513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10004442266561) 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 23 ways as a sum of consecutive naturals, for example, 5051431 + ... + 6747283.

It is an arithmetic number, because the mean of its divisors is an integer number (449040941025).

Almost surely, 2^{10004442266521} is an apocalyptic number.

It is an amenable number.

10004442266521 is a deficient number, since it is larger than the sum of its proper divisors (772540318079).

10004442266521 is a wasteful number, since it uses less digits than its factorization.

10004442266521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696173 (or 1696156 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 10004442266521 in words is "ten trillion, four billion, four hundred forty-two million, two hundred sixty-six thousand, five hundred twenty-one".