1803784550400 has 1728 divisors, whose sum is σ = 7965240192000. Its totient is φ = 398529331200.

The previous prime is 1803784550387. The next prime is 1803784550417. The reversal of 1803784550400 is 40554873081.

1803784550400 is a `hidden beast` number, since 18 + 0 + 3 + 7 + 84 + 550 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2099865171 + ... + 2099866029.

It is an arithmetic number, because the mean of its divisors is an integer number (4609514000).

Almost surely, 2^{1803784550400} is an apocalyptic number.

1803784550400 is a gapful number since it is divisible by the number (10) 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 1803784550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3982620096000).

1803784550400 is an abundant number, since it is smaller than the sum of its proper divisors (6161455641600).

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

1803784550400 is a wasteful number, since it uses less digits than its factorization.

1803784550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 1803784550400 in words is "one trillion, eight hundred three billion, seven hundred eighty-four million, five hundred fifty thousand, four hundred".