16116506566560 has 72 divisors (see below), whose sum is σ = 54997578663300. Its totient is φ = 4297735084032.

The previous prime is 16116506566553. The next prime is 16116506566577. The reversal of 16116506566560 is 6566560561161.

16116506566560 is a `hidden beast` number, since 1 + 6 + 1 + 16 + 5 + 0 + 6 + 5 + 66 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16105549501584 + 10957064976 = 4013172^2 + 104676^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 16116506566497 and 16116506566506.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5596007785 + ... + 5596010664.

Almost surely, 2^{16116506566560} is an apocalyptic number.

16116506566560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16116506566560 is an abundant number, since it is smaller than the sum of its proper divisors (38881072096740).

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

16116506566560 is a wasteful number, since it uses less digits than its factorization.

16116506566560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11192018470 (or 11192018459 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 16116506566560 in words is "sixteen trillion, one hundred sixteen billion, five hundred six million, five hundred sixty-six thousand, five hundred sixty".