10005555599599 has 16 divisors (see below), whose sum is σ = 11486416936000. Its totient is φ = 8537578516224.

The previous prime is 10005555599551. The next prime is 10005555599609. The reversal of 10005555599599 is 99599555550001.

It is a cyclic number.

It is not a de Polignac number, because 10005555599599 - 2⁷ = 10005555599471 is a prime.

It is a super-2 number, since 2×10005555599599² (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 (10005555599509) 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, 11468677 + ... + 12310225.

It is an arithmetic number, because the mean of its divisors is an integer number (717901058500).

Almost surely, 2^{10005555599599} is an apocalyptic number.

10005555599599 is a deficient number, since it is larger than the sum of its proper divisors (1480861336401).

10005555599599 is an equidigital number, since it uses as much as digits as its factorization.

10005555599599 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849202.

The product of its (nonzero) digits is 102515625, while the sum is 67.

The spelling of 10005555599599 in words is "ten trillion, five billion, five hundred fifty-five million, five hundred ninety-nine thousand, five hundred ninety-nine".