2168636198400 has 3240 divisors, whose sum is σ = 10246461166656. Its totient is φ = 451480780800.

The previous prime is 2168636198387. The next prime is 2168636198489. The reversal of 2168636198400 is 48916368612.

2168636198400 is a `hidden beast` number, since 2 + 16 + 8 + 6 + 3 + 619 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a super-2 number, since 2×2168636198400² (a number of 25 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 69956006385 + ... + 69956006415.

Almost surely, 2^{2168636198400} is an apocalyptic number.

2168636198400 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 2168636198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5123230583328).

2168636198400 is an abundant number, since it is smaller than the sum of its proper divisors (8077824968256).

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

2168636198400 is an frugal number, since it uses more digits than its factorization.

2168636198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 2168636198400 in words is "two trillion, one hundred sixty-eight billion, six hundred thirty-six million, one hundred ninety-eight thousand, four hundred".