10005775506505 has 16 divisors (see below), whose sum is σ = 12042698353920. Its totient is φ = 7980779709952.

The previous prime is 10005775506469. The next prime is 10005775506521. The reversal of 10005775506505 is 50560557750001.

It is a cyclic number.

It is not a de Polignac number, because 10005775506505 - 2²⁷ = 10005641288777 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17993952 + ... + 18541678.

It is an arithmetic number, because the mean of its divisors is an integer number (752668647120).

Almost surely, 2^{10005775506505} is an apocalyptic number.

It is an amenable number.

10005775506505 is a deficient number, since it is larger than the sum of its proper divisors (2036922847415).

10005775506505 is a wasteful number, since it uses less digits than its factorization.

10005775506505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558608.

The product of its (nonzero) digits is 918750, while the sum is 46.

The spelling of 10005775506505 in words is "ten trillion, five billion, seven hundred seventy-five million, five hundred six thousand, five hundred five".