252608181120 has 448 divisors, whose sum is σ = 919050449040. Its totient is φ = 66348564480.

The previous prime is 252608181071. The next prime is 252608181121. The reversal of 252608181120 is 21181806252.

252608181120 is a `hidden beast` number, since 2 + 5 + 2 + 608 + 18 + 11 + 20 = 666.

252608181120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252608181121) 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 55 ways as a sum of consecutive naturals, for example, 31255480 + ... + 31263560.

Almost surely, 2^252608181120 is an apocalyptic number.

252608181120 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 252608181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459525224520).

252608181120 is an abundant number, since it is smaller than the sum of its proper divisors (666442267920).

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

252608181120 is an frugal number, since it uses more digits than its factorization.

252608181120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8185 (or 8158 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 252608181120 its reverse (21181806252), we get a palindrome (273789987372).

The spelling of 252608181120 in words is "two hundred fifty-two billion, six hundred eight million, one hundred eighty-one thousand, one hundred twenty".