252457905280 has 128 divisors (see below), whose sum is σ = 690504912000. Its totient is φ = 86462398464.

The previous prime is 252457905277. The next prime is 252457905281. The reversal of 252457905280 is 82509754252.

252457905280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (252457905281) 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, 4131591 + ... + 4192249.

It is an arithmetic number, because the mean of its divisors is an integer number (5394569625).

Almost surely, 2^252457905280 is an apocalyptic number.

252457905280 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 252457905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345252456000).

252457905280 is an abundant number, since it is smaller than the sum of its proper divisors (438047006720).

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

252457905280 is an equidigital number, since it uses as much as digits as its factorization.

252457905280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61614 (or 61602 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 49.

The spelling of 252457905280 in words is "two hundred fifty-two billion, four hundred fifty-seven million, nine hundred five thousand, two hundred eighty".