10165616206160 has 20 divisors (see below), whose sum is σ = 23635057679508. Its totient is φ = 4066246482432.

The previous prime is 10165616206129. The next prime is 10165616206169. The reversal of 10165616206160 is 6160261656101.

It can be written as a sum of positive squares in 2 ways, for example, as 4200630607936 + 5964985598224 = 2049544^2 + 2442332^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10165616206169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63535101209 + ... + 63535101368.

Almost surely, 2^{10165616206160} is an apocalyptic number.

10165616206160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10165616206160 is an abundant number, since it is smaller than the sum of its proper divisors (13469441473348).

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

10165616206160 is a wasteful number, since it uses less digits than its factorization.

10165616206160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127070202590 (or 127070202584 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 10165616206160 in words is "ten trillion, one hundred sixty-five billion, six hundred sixteen million, two hundred six thousand, one hundred sixty".