252548342720 has 112 divisors (see below), whose sum is σ = 606485968128. Its totient is φ = 100163543040.

The previous prime is 252548342719. The next prime is 252548342729. The reversal of 252548342720 is 27243845252.

252548342720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252548342729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43442534 + ... + 43448346.

Almost surely, 2^252548342720 is an apocalyptic number.

252548342720 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 252548342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303242984064).

252548342720 is an abundant number, since it is smaller than the sum of its proper divisors (353937625408).

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

252548342720 is a wasteful number, since it uses less digits than its factorization.

252548342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6958 (or 6948 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 44.

The spelling of 252548342720 in words is "two hundred fifty-two billion, five hundred forty-eight million, three hundred forty-two thousand, seven hundred twenty".