1812096000 has 792 divisors, whose sum is σ = 7729750392. Its totient is φ = 405504000.

The previous prime is 1812095959. The next prime is 1812096017. The reversal of 1812096000 is 6902181.

It can be written as a sum of positive squares in 4 ways, for example, as 285474816 + 1526621184 = 16896^2 + 39072^2 .

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139391994 + ... + 139392006.

Almost surely, 2^1812096000 is an apocalyptic number.

1812096000 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 1812096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864875196).

1812096000 is an abundant number, since it is smaller than the sum of its proper divisors (5917654392).

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

1812096000 is a wasteful number, since it uses less digits than its factorization.

1812096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1812096000 is about 42568.7209110163. The cubic root of 1812096000 is about 1219.1591446826.

Adding to 1812096000 its reverse (6902181), we get a palindrome (1818998181).

The spelling of 1812096000 in words is "one billion, eight hundred twelve million, ninety-six thousand".