10004223514200 has 192 divisors, whose sum is σ = 31165050309120. Its totient is φ = 2654740800000.

The previous prime is 10004223514163. The next prime is 10004223514213. The reversal of 10004223514200 is 241532240001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 168190465 + ... + 168249935.

It is an arithmetic number, because the mean of its divisors is an integer number (162317970360).

Almost surely, 2^{10004223514200} is an apocalyptic number.

10004223514200 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 10004223514200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15582525154560).

10004223514200 is an abundant number, since it is smaller than the sum of its proper divisors (21160826794920).

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

10004223514200 is a wasteful number, since it uses less digits than its factorization.

10004223514200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60858 (or 60849 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10004223514200 its reverse (241532240001), we get a palindrome (10245755754201).

The spelling of 10004223514200 in words is "ten trillion, four billion, two hundred twenty-three million, five hundred fourteen thousand, two hundred".