252118528480 has 192 divisors, whose sum is σ = 734892842880. Its totient is φ = 79594389504.

The previous prime is 252118528463. The next prime is 252118528481. The reversal of 252118528480 is 84825811252.

It is a super-2 number, since 2×252118528480² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 252118528480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252118528481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5933872 + ... + 5976208.

It is an arithmetic number, because the mean of its divisors is an integer number (3827566890).

Almost surely, 2^252118528480 is an apocalyptic number.

252118528480 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 252118528480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367446421440).

252118528480 is an abundant number, since it is smaller than the sum of its proper divisors (482774314400).

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

252118528480 is a wasteful number, since it uses less digits than its factorization.

252118528480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42781 (or 42773 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 46.

The spelling of 252118528480 in words is "two hundred fifty-two billion, one hundred eighteen million, five hundred twenty-eight thousand, four hundred eighty".