252324445504000 has 160 divisors (see below), whose sum is σ = 629395666099200. Its totient is φ = 100896269414400.

The previous prime is 252324445503989. The next prime is 252324445504009. The reversal of 252324445504000 is 405544423252.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (252324445504009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192563041 + ... + 193868959.

It is an arithmetic number, because the mean of its divisors is an integer number (3933722913120).

Almost surely, 2^{252324445504000} is an apocalyptic number.

252324445504000 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 252324445504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314697833049600).

252324445504000 is an abundant number, since it is smaller than the sum of its proper divisors (377071220595200).

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

252324445504000 is an equidigital number, since it uses as much as digits as its factorization.

252324445504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308971 (or 1308945 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 40.

Adding to 252324445504000 its reverse (405544423252), we get a palindrome (252729989927252).

The spelling of 252324445504000 in words is "two hundred fifty-two trillion, three hundred twenty-four billion, four hundred forty-five million, five hundred four thousand".