2166910660800 has 336 divisors, whose sum is σ = 7911502917120. Its totient is φ = 576942289920.

The previous prime is 2166910660729. The next prime is 2166910660879. The reversal of 2166910660800 is 80660196612.

2166910660800 is a `hidden beast` number, since 21 + 6 + 6 + 9 + 10 + 6 + 608 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27911637 + ... + 27989163.

Almost surely, 2^{2166910660800} is an apocalyptic number.

2166910660800 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 2166910660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955751458560).

2166910660800 is an abundant number, since it is smaller than the sum of its proper divisors (5744592256320).

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

2166910660800 is a wasteful number, since it uses less digits than its factorization.

2166910660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78205 (or 78184 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 2166910660800 in words is "two trillion, one hundred sixty-six billion, nine hundred ten million, six hundred sixty thousand, eight hundred".