252323544000 has 448 divisors, whose sum is σ = 919213401600. Its totient is φ = 60476416000.

The previous prime is 252323543971. The next prime is 252323544019. The reversal of 252323544000 is 445323252.

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 63 ways as a sum of consecutive naturals, for example, 23490631 + ... + 23501369.

Almost surely, 2^252323544000 is an apocalyptic number.

252323544000 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 252323544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459606700800).

252323544000 is an abundant number, since it is smaller than the sum of its proper divisors (666889857600).

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

252323544000 is a wasteful number, since it uses less digits than its factorization.

252323544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10869 (or 10849 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 252323544000 its reverse (445323252), we get a palindrome (252768867252).

The spelling of 252323544000 in words is "two hundred fifty-two billion, three hundred twenty-three million, five hundred forty-four thousand".