10005502352663 has 16 divisors (see below), whose sum is σ = 10086047217792. Its totient is φ = 9925257888000.

The previous prime is 10005502352653. The next prime is 10005502352687. The reversal of 10005502352663 is 36625320550001.

It is a cyclic number.

It is not a de Polignac number, because 10005502352663 - 2⁴ = 10005502352647 is a prime.

It is a super-2 number, since 2×10005502352663² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005502352653) 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 15 ways as a sum of consecutive naturals, for example, 164147570 + ... + 164208512.

It is an arithmetic number, because the mean of its divisors is an integer number (630377951112).

Almost surely, 2^{10005502352663} is an apocalyptic number.

10005502352663 is a deficient number, since it is larger than the sum of its proper divisors (80544865129).

10005502352663 is a wasteful number, since it uses less digits than its factorization.

10005502352663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63386.

The product of its (nonzero) digits is 162000, while the sum is 38.

The spelling of 10005502352663 in words is "ten trillion, five billion, five hundred two million, three hundred fifty-two thousand, six hundred sixty-three".