2185213366800 has 420 divisors, whose sum is σ = 7877532806004. Its totient is φ = 582266880000.

The previous prime is 2185213366781. The next prime is 2185213366823. The reversal of 2185213366800 is 86633125812.

2185213366800 is a `hidden beast` number, since 2 + 18 + 521 + 3 + 36 + 6 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1003835671056 + 1181377695744 = 1001916^2 + 1086912^2 .

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 83 ways as a sum of consecutive naturals, for example, 546164800 + ... + 546168800.

Almost surely, 2^{2185213366800} is an apocalyptic number.

2185213366800 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 2185213366800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938766403002).

2185213366800 is an abundant number, since it is smaller than the sum of its proper divisors (5692319439204).

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

2185213366800 is a wasteful number, since it uses less digits than its factorization.

2185213366800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5910 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2185213366800 in words is "two trillion, one hundred eighty-five billion, two hundred thirteen million, three hundred sixty-six thousand, eight hundred".