10005056047 has 16 divisors (see below), whose sum is σ = 11572218432. Its totient is φ = 8472844800.

The previous prime is 10005056021. The next prime is 10005056059. The reversal of 10005056047 is 74065050001.

It is not a de Polignac number, because 10005056047 - 2¹⁹ = 10004531759 is a prime.

It is a super-2 number, since 2×10005056047² (a number of 21 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 (10005056647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230797 + ... + 270697.

It is an arithmetic number, because the mean of its divisors is an integer number (723263652).

Almost surely, 2^10005056047 is an apocalyptic number.

10005056047 is a deficient number, since it is larger than the sum of its proper divisors (1567162385).

10005056047 is a wasteful number, since it uses less digits than its factorization.

10005056047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40338.

The product of its (nonzero) digits is 4200, while the sum is 28.

The spelling of 10005056047 in words is "ten billion, five million, fifty-six thousand, forty-seven".