245727171200 has 192 divisors, whose sum is σ = 695695651200. Its totient is φ = 84011888640.

The previous prime is 245727171191. The next prime is 245727171253. The reversal of 245727171200 is 2171727542.

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 23 ways as a sum of consecutive naturals, for example, 8026322 + ... + 8056878.

It is an arithmetic number, because the mean of its divisors is an integer number (3623414850).

Almost surely, 2^245727171200 is an apocalyptic number.

245727171200 is a gapful number since it is divisible by the number (20) 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 245727171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347847825600).

245727171200 is an abundant number, since it is smaller than the sum of its proper divisors (449968480000).

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

245727171200 is a wasteful number, since it uses less digits than its factorization.

245727171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30947 (or 30930 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 38.

Adding to 245727171200 its reverse (2171727542), we get a palindrome (247898898742).

The spelling of 245727171200 in words is "two hundred forty-five billion, seven hundred twenty-seven million, one hundred seventy-one thousand, two hundred".