10417006873 has 24 divisors (see below), whose sum is σ = 13118353920. Its totient is φ = 8198779680.

The previous prime is 10417006841. The next prime is 10417006879. The reversal of 10417006873 is 37860071401.

It is not a de Polignac number, because 10417006873 - 2⁵ = 10417006841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10417006879) 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, 78858 + ... + 164476.

It is an arithmetic number, because the mean of its divisors is an integer number (546598080).

Almost surely, 2^10417006873 is an apocalyptic number.

10417006873 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10417006873 is a deficient number, since it is larger than the sum of its proper divisors (2701347047).

10417006873 is a wasteful number, since it uses less digits than its factorization.

10417006873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85837 (or 85830 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 10417006873 in words is "ten billion, four hundred seventeen million, six thousand, eight hundred seventy-three".