1812820805004 has 576 divisors, whose sum is σ = 5281907097600. Its totient is φ = 481225536000.

The previous prime is 1812820804957. The next prime is 1812820805011. The reversal of 1812820805004 is 4005080282181.

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, 1866962239 + ... + 1866963209.

It is an arithmetic number, because the mean of its divisors is an integer number (9169977600).

Almost surely, 2^{1812820805004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1812820805004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640953548800).

1812820805004 is an abundant number, since it is smaller than the sum of its proper divisors (3469086292596).

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

1812820805004 is a wasteful number, since it uses less digits than its factorization.

1812820805004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The spelling of 1812820805004 in words is "one trillion, eight hundred twelve billion, eight hundred twenty million, eight hundred five thousand, four".