1804127212800 has 1728 divisors, whose sum is σ = 7795901030400. Its totient is φ = 403638681600.

The previous prime is 1804127212747. The next prime is 1804127212847. The reversal of 1804127212800 is 82127214081.

It is a happy number.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1267832889 + ... + 1267834311.

It is an arithmetic number, because the mean of its divisors is an integer number (4511516800).

Almost surely, 2^{1804127212800} is an apocalyptic number.

1804127212800 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 1804127212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897950515200).

1804127212800 is an abundant number, since it is smaller than the sum of its proper divisors (5991773817600).

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

1804127212800 is a wasteful number, since it uses less digits than its factorization.

1804127212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 1804127212800 in words is "one trillion, eight hundred four billion, one hundred twenty-seven million, two hundred twelve thousand, eight hundred".