10005572873907 has 24 divisors (see below), whose sum is σ = 15564378770304. Its totient is φ = 6157214573184.

The previous prime is 10005572873851. The next prime is 10005572873909. The reversal of 10005572873907 is 70937827550001.

It is a happy number.

10005572873907 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 557 + 2 + 87 + 3 + 9 + 0 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-10005572873907 is a prime.

It is a super-2 number, since 2×10005572873907² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10005572873909) 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, 13326303 + ... + 14057079.

It is an arithmetic number, because the mean of its divisors is an integer number (648515782096).

Almost surely, 2^{10005572873907} is an apocalyptic number.

10005572873907 is a deficient number, since it is larger than the sum of its proper divisors (5558805896397).

10005572873907 is a wasteful number, since it uses less digits than its factorization.

10005572873907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847819 (or 847816 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 10005572873907 in words is "ten trillion, five billion, five hundred seventy-two million, eight hundred seventy-three thousand, nine hundred seven".