252128000000 has 168 divisors, whose sum is σ = 630238026600. Its totient is φ = 100838400000.

The previous prime is 252127999969. The next prime is 252128000029. The reversal of 252128000000 is 821252.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 31996061 + ... + 32003939.

It is an arithmetic number, because the mean of its divisors is an integer number (3751416825).

Almost surely, 2^252128000000 is an apocalyptic number.

252128000000 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 252128000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315119013300).

252128000000 is an abundant number, since it is smaller than the sum of its proper divisors (378110026600).

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

252128000000 is an frugal number, since it uses more digits than its factorization.

252128000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7931 (or 7886 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 252128000000 its reverse (821252), we get a palindrome (252128821252).

The spelling of 252128000000 in words is "two hundred fifty-two billion, one hundred twenty-eight million", and thus it is an aban number.