252143414424200 has 384 divisors, whose sum is σ = 649059270048000. Its totient is φ = 90501226905600.

The previous prime is 252143414424191. The next prime is 252143414424353. The reversal of 252143414424200 is 2424414341252.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71448968036 + ... + 71448971564.

It is an arithmetic number, because the mean of its divisors is an integer number (1690258515750).

Almost surely, 2^{252143414424200} is an apocalyptic number.

252143414424200 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 252143414424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324529635024000).

252143414424200 is an abundant number, since it is smaller than the sum of its proper divisors (396915855623800).

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

252143414424200 is a wasteful number, since it uses less digits than its factorization.

252143414424200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5825 (or 5816 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 38.

Adding to 252143414424200 its reverse (2424414341252), we get a palindrome (254567828765452).

The spelling of 252143414424200 in words is "two hundred fifty-two trillion, one hundred forty-three billion, four hundred fourteen million, four hundred twenty-four thousand, two hundred".