1820851315200 has 480 divisors, whose sum is σ = 6899043909120. Its totient is φ = 469894348800.

The previous prime is 1820851315183. The next prime is 1820851315207. The reversal of 1820851315200 is 25131580281.

1820851315200 is a `hidden beast` number, since 1 + 8 + 20 + 85 + 1 + 31 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1820851315207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10628622 + ... + 10798578.

It is an arithmetic number, because the mean of its divisors is an integer number (14373008144).

Almost surely, 2^{1820851315200} is an apocalyptic number.

1820851315200 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 1820851315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449521954560).

1820851315200 is an abundant number, since it is smaller than the sum of its proper divisors (5078192593920).

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

1820851315200 is a wasteful number, since it uses less digits than its factorization.

1820851315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170025 (or 169998 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Adding to 1820851315200 its reverse (25131580281), we get a palindrome (1845982895481).

The spelling of 1820851315200 in words is "one trillion, eight hundred twenty billion, eight hundred fifty-one million, three hundred fifteen thousand, two hundred".