10065206166656 has 32 divisors (see below), whose sum is σ = 20334197335680. Its totient is φ = 4961721345280.

The previous prime is 10065206166647. The next prime is 10065206166661. The reversal of 10065206166656 is 65666160256001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×10065206166656³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 553754456 + ... + 553772631.

It is an arithmetic number, because the mean of its divisors is an integer number (635443666740).

Almost surely, 2^{10065206166656} is an apocalyptic number.

10065206166656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10065206166656 is an abundant number, since it is smaller than the sum of its proper divisors (10268991169024).

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

10065206166656 is an equidigital number, since it uses as much as digits as its factorization.

10065206166656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107527172 (or 1107527160 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 50.

The spelling of 10065206166656 in words is "ten trillion, sixty-five billion, two hundred six million, one hundred sixty-six thousand, six hundred fifty-six".