1821951856200 has 768 divisors, whose sum is σ = 7019970693120. Its totient is φ = 381389783040.

The previous prime is 1821951856199. The next prime is 1821951856223. The reversal of 1821951856200 is 26581591281.

It is a self number, because there is not a number n which added to its sum of digits gives 1821951856200.

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 191 ways as a sum of consecutive naturals, for example, 942550434 + ... + 942552366.

It is an arithmetic number, because the mean of its divisors is an integer number (9140586840).

Almost surely, 2^{1821951856200} is an apocalyptic number.

1821951856200 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 1821951856200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509985346560).

1821951856200 is an abundant number, since it is smaller than the sum of its proper divisors (5198018836920).

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

1821951856200 is a wasteful number, since it uses less digits than its factorization.

1821951856200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 48.

The spelling of 1821951856200 in words is "one trillion, eight hundred twenty-one billion, nine hundred fifty-one million, eight hundred fifty-six thousand, two hundred".