2105826811200 has 672 divisors, whose sum is σ = 8782757867520. Its totient is φ = 480805632000.

The previous prime is 2105826811199. The next prime is 2105826811213. The reversal of 2105826811200 is 21186285012.

2105826811200 is a `hidden beast` number, since 2 + 1 + 0 + 582 + 68 + 1 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 321447925 + ... + 321454475.

It is an arithmetic number, because the mean of its divisors is an integer number (13069580160).

Almost surely, 2^{2105826811200} is an apocalyptic number.

2105826811200 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 2105826811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391378933760).

2105826811200 is an abundant number, since it is smaller than the sum of its proper divisors (6676931056320).

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

2105826811200 is a wasteful number, since it uses less digits than its factorization.

2105826811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7652 (or 7631 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 2105826811200 in words is "two trillion, one hundred five billion, eight hundred twenty-six million, eight hundred eleven thousand, two hundred".