252524160000 has 660 divisors, whose sum is σ = 1041487267392. Its totient is φ = 57710592000.

The previous prime is 252524159957. The next prime is 252524160013. The reversal of 252524160000 is 61425252.

252524160000 is a `hidden beast` number, since 2 + 5 + 2 + 52 + 4 + 1 + 600 + 0 + 0 = 666.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 40316869 + ... + 40323131.

Almost surely, 2^252524160000 is an apocalyptic number.

252524160000 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 252524160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520743633696).

252524160000 is an abundant number, since it is smaller than the sum of its proper divisors (788963107392).

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

252524160000 is an equidigital number, since it uses as much as digits as its factorization.

252524160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6316 (or 6280 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 252524160000 its reverse (61425252), we get a palindrome (252585585252).

The spelling of 252524160000 in words is "two hundred fifty-two billion, five hundred twenty-four million, one hundred sixty thousand".