2165993827200 has 1536 divisors, whose sum is σ = 9638383104000. Its totient is φ = 463725527040.

The previous prime is 2165993827187. The next prime is 2165993827213. The reversal of 2165993827200 is 27283995612.

2165993827200 is a `hidden beast` number, since 2 + 1 + 6 + 59 + 9 + 382 + 7 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (2165993827187) and next prime (2165993827213).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3012508441 + ... + 3012509159.

It is an arithmetic number, because the mean of its divisors is an integer number (6274989000).

Almost surely, 2^{2165993827200} is an apocalyptic number.

2165993827200 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 2165993827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819191552000).

2165993827200 is an abundant number, since it is smaller than the sum of its proper divisors (7472389276800).

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

2165993827200 is a wasteful number, since it uses less digits than its factorization.

2165993827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 2165993827200 in words is "two trillion, one hundred sixty-five billion, nine hundred ninety-three million, eight hundred twenty-seven thousand, two hundred".