10605605505561 has 24 divisors (see below), whose sum is σ = 17250955587840. Its totient is φ = 6220296482400.

The previous prime is 10605605505497. The next prime is 10605605505577. The reversal of 10605605505561 is 16550550650601.

It is not a de Polignac number, because 10605605505561 - 2⁶ = 10605605505497 is a prime.

It is a super-2 number, since 2×10605605505561² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10605605505461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1727857066 + ... + 1727863203.

It is an arithmetic number, because the mean of its divisors is an integer number (718789816160).

Almost surely, 2^{10605605505561} is an apocalyptic number.

10605605505561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10605605505561 is a deficient number, since it is larger than the sum of its proper divisors (6645350082279).

10605605505561 is a wasteful number, since it uses less digits than its factorization.

10605605505561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455720317 (or 3455720314 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 10605605505561 in words is "ten trillion, six hundred five billion, six hundred five million, five hundred five thousand, five hundred sixty-one".