252525168000 has 1024 divisors, whose sum is σ = 1073869056000. Its totient is φ = 57131827200.

The previous prime is 252525167981. The next prime is 252525168001. The reversal of 252525168000 is 861525252.

It is a happy number.

252525168000 is a `hidden beast` number, since 2 + 52 + 525 + 1 + 6 + 80 + 0 + 0 = 666.

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 (252525168001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 341711631 + ... + 341712369.

It is an arithmetic number, because the mean of its divisors is an integer number (1048700250).

Almost surely, 2^252525168000 is an apocalyptic number.

252525168000 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 252525168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536934528000).

252525168000 is an abundant number, since it is smaller than the sum of its proper divisors (821343888000).

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

252525168000 is a wasteful number, since it uses less digits than its factorization.

252525168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 252525168000 in words is "two hundred fifty-two billion, five hundred twenty-five million, one hundred sixty-eight thousand".