10580066211671 has 32 divisors (see below), whose sum is σ = 12104289146880. Its totient is φ = 9160548710400.

The previous prime is 10580066211569. The next prime is 10580066211679. The reversal of 10580066211671 is 17611266008501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10580066211671 is a prime.

It is a super-2 number, since 2×10580066211671² (a number of 27 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 (10580066211679) 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, 5027315 + ... + 6814251.

It is an arithmetic number, because the mean of its divisors is an integer number (378259035840).

Almost surely, 2^{10580066211671} is an apocalyptic number.

10580066211671 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10580066211671 is a deficient number, since it is larger than the sum of its proper divisors (1524222935209).

10580066211671 is a wasteful number, since it uses less digits than its factorization.

10580066211671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787255.

The product of its (nonzero) digits is 120960, while the sum is 44.

The spelling of 10580066211671 in words is "ten trillion, five hundred eighty billion, sixty-six million, two hundred eleven thousand, six hundred seventy-one".