1804141785600 has 2880 divisors, whose sum is σ = 8662794117120. Its totient is φ = 347435827200.

The previous prime is 1804141785583. The next prime is 1804141785737. The reversal of 1804141785600 is 65871414081.

1804141785600 is a `hidden beast` number, since 1 + 8 + 0 + 4 + 14 + 1 + 78 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7548710281 + ... + 7548710519.

It is an arithmetic number, because the mean of its divisors is an integer number (3007914624).

Almost surely, 2^{1804141785600} is an apocalyptic number.

1804141785600 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 1804141785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4331397058560).

1804141785600 is an abundant number, since it is smaller than the sum of its proper divisors (6858652331520).

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

1804141785600 is a wasteful number, since it uses less digits than its factorization.

1804141785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 1804141785600 in words is "one trillion, eight hundred four billion, one hundred forty-one million, seven hundred eighty-five thousand, six hundred".