252143324400 has 240 divisors, whose sum is σ = 894280583808. Its totient is φ = 60213120000.

The previous prime is 252143324311. The next prime is 252143324507. The reversal of 252143324400 is 4423341252.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 741850 + ... + 1026950.

Almost surely, 2^252143324400 is an apocalyptic number.

252143324400 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 252143324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447140291904).

252143324400 is an abundant number, since it is smaller than the sum of its proper divisors (642137259408).

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

252143324400 is a wasteful number, since it uses less digits than its factorization.

252143324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285200 (or 285189 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 252143324400 its reverse (4423341252), we get a palindrome (256566665652).

The spelling of 252143324400 in words is "two hundred fifty-two billion, one hundred forty-three million, three hundred twenty-four thousand, four hundred".