1823104560200 has 384 divisors, whose sum is σ = 5350286131200. Its totient is φ = 561210240000.

The previous prime is 1823104560187. The next prime is 1823104560281. The reversal of 1823104560200 is 20654013281.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 745035377 + ... + 745037823.

It is an arithmetic number, because the mean of its divisors is an integer number (13933036800).

Almost surely, 2^{1823104560200} is an apocalyptic number.

1823104560200 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 1823104560200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675143065600).

1823104560200 is an abundant number, since it is smaller than the sum of its proper divisors (3527181571000).

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

1823104560200 is a wasteful number, since it uses less digits than its factorization.

1823104560200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 1823104560200 its reverse (20654013281), we get a palindrome (1843758573481).

The spelling of 1823104560200 in words is "one trillion, eight hundred twenty-three billion, one hundred four million, five hundred sixty thousand, two hundred".