10580066211696 has 80 divisors (see below), whose sum is σ = 27409645670400. Its totient is φ = 3516651350784.

The previous prime is 10580066211679. The next prime is 10580066211697. The reversal of 10580066211696 is 69611266008501.

It is a super-2 number, since 2×10580066211696² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10580066211697) 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, 166245610 + ... + 166309238.

It is an arithmetic number, because the mean of its divisors is an integer number (342620570880).

Almost surely, 2^{10580066211696} is an apocalyptic number.

10580066211696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10580066211696 is an abundant number, since it is smaller than the sum of its proper divisors (16829579458704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10580066211696 is a wasteful number, since it uses less digits than its factorization.

10580066211696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73446 (or 73440 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 10580066211696 in words is "ten trillion, five hundred eighty billion, sixty-six million, two hundred eleven thousand, six hundred ninety-six".