10005775506473 has 32 divisors (see below), whose sum is σ = 10228645728000. Its totient is φ = 9786161442816.

The previous prime is 10005775506469. The next prime is 10005775506521. The reversal of 10005775506473 is 37460557750001.

It is a cyclic number.

It is not a de Polignac number, because 10005775506473 - 2² = 10005775506469 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10005775506173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5020458365 + ... + 5020460357.

It is an arithmetic number, because the mean of its divisors is an integer number (319645179000).

Almost surely, 2^{10005775506473} is an apocalyptic number.

It is an amenable number.

10005775506473 is a deficient number, since it is larger than the sum of its proper divisors (222870221527).

10005775506473 is a wasteful number, since it uses less digits than its factorization.

10005775506473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921.

The product of its (nonzero) digits is 3087000, while the sum is 50.

The spelling of 10005775506473 in words is "ten trillion, five billion, seven hundred seventy-five million, five hundred six thousand, four hundred seventy-three".