253544230120 has 64 divisors (see below), whose sum is σ = 586080133200. Its totient is φ = 98645114880.

The previous prime is 253544230111. The next prime is 253544230151. The reversal of 253544230120 is 21032445352.

253544230120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 142390003716 + 111154226404 = 377346^2 + 333398^2 .

It is an unprimeable number.

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, 4901190 + ... + 4952650.

Almost surely, 2^253544230120 is an apocalyptic number.

253544230120 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 253544230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293040066600).

253544230120 is an abundant number, since it is smaller than the sum of its proper divisors (332535903080).

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

253544230120 is a wasteful number, since it uses less digits than its factorization.

253544230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54838 (or 54834 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 253544230120 its reverse (21032445352), we get a palindrome (274576675472).

The spelling of 253544230120 in words is "two hundred fifty-three billion, five hundred forty-four million, two hundred thirty thousand, one hundred twenty".