52128000000 has 504 divisors, whose sum is σ = 189231366870. Its totient is φ = 13824000000.

The previous prime is 52127999981. The next prime is 52128000007. The reversal of 52128000000 is 82125.

It can be written as a sum of positive squares in 7 ways, for example, as 43757945856 + 8370054144 = 209184^2 + 91488^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (52128000007) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 287999910 + ... + 288000090.

Almost surely, 2^52128000000 is an apocalyptic number.

52128000000 is a gapful number since it is divisible by the number (50) 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 52128000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94615683435).

52128000000 is an abundant number, since it is smaller than the sum of its proper divisors (137103366870).

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

52128000000 is an frugal number, since it uses more digits than its factorization.

52128000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 52128000000 its reverse (82125), we get a palindrome (52128082125).

The spelling of 52128000000 in words is "fifty-two billion, one hundred twenty-eight million", and thus it is an aban number.