2166668887200 has 576 divisors, whose sum is σ = 7334350571520. Its totient is φ = 555287040000.

The previous prime is 2166668887199. The next prime is 2166668887213. The reversal of 2166668887200 is 27888666612.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1153095861 + ... + 1153097739.

It is an arithmetic number, because the mean of its divisors is an integer number (12733247520).

Almost surely, 2^{2166668887200} is an apocalyptic number.

2166668887200 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 2166668887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667175285760).

2166668887200 is an abundant number, since it is smaller than the sum of its proper divisors (5167681684320).

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

2166668887200 is a wasteful number, since it uses less digits than its factorization.

2166668887200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 2166668887200 in words is "two trillion, one hundred sixty-six billion, six hundred sixty-eight million, eight hundred eighty-seven thousand, two hundred".