2116667166660 has 144 divisors (see below), whose sum is σ = 6485499362160. Its totient is φ = 558737740800.

The previous prime is 2116667166637. The next prime is 2116667166671. The reversal of 2116667166660 is 666617666112.

It can be written as a sum of positive squares in 8 ways, for example, as 514579544964 + 1602087621696 = 717342^2 + 1265736^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2116667166597 and 2116667166606.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 115852006 + ... + 115870274.

It is an arithmetic number, because the mean of its divisors is an integer number (45038190015).

Almost surely, 2^{2116667166660} is an apocalyptic number.

2116667166660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116667166660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242749681080).

2116667166660 is an abundant number, since it is smaller than the sum of its proper divisors (4368832195500).

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

2116667166660 is a wasteful number, since it uses less digits than its factorization.

2116667166660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24758 (or 24753 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 2116667166660 in words is "two trillion, one hundred sixteen billion, six hundred sixty-seven million, one hundred sixty-six thousand, six hundred sixty".