5712201205200 has 720 divisors, whose sum is σ = 25041835791360. Its totient is φ = 1228841349120.

The previous prime is 5712201205189. The next prime is 5712201205213. The reversal of 5712201205200 is 25021022175.

5712201205200 is a `hidden beast` number, since 5 + 7 + 12 + 2 + 0 + 120 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8678929 + ... + 9313871.

It is an arithmetic number, because the mean of its divisors is an integer number (34780327488).

Almost surely, 2^{5712201205200} is an apocalyptic number.

5712201205200 is a gapful number since it is divisible by the number (50) 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 5712201205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12520917895680).

5712201205200 is an abundant number, since it is smaller than the sum of its proper divisors (19329634586160).

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

5712201205200 is a wasteful number, since it uses less digits than its factorization.

5712201205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635001 (or 634977 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

Adding to 5712201205200 its reverse (25021022175), we get a palindrome (5737222227375).

The spelling of 5712201205200 in words is "five trillion, seven hundred twelve billion, two hundred one million, two hundred five thousand, two hundred".