10058166667681 has 24 divisors (see below), whose sum is σ = 11655283917312. Its totient is φ = 8656064313600.

The previous prime is 10058166667669. The next prime is 10058166667723. The reversal of 10058166667681 is 18676666185001.

It is not a de Polignac number, because 10058166667681 - 2⁹ = 10058166667169 is a prime.

It is a super-2 number, since 2×10058166667681² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10058166667181) 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, 18359665 + ... + 18899566.

It is an arithmetic number, because the mean of its divisors is an integer number (485636829888).

Almost surely, 2^{10058166667681} is an apocalyptic number.

10058166667681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10058166667681 is a deficient number, since it is larger than the sum of its proper divisors (1597117249631).

10058166667681 is a wasteful number, since it uses less digits than its factorization.

10058166667681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37259373 (or 37259362 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 10058166667681 in words is "ten trillion, fifty-eight billion, one hundred sixty-six million, six hundred sixty-seven thousand, six hundred eighty-one".