52132669200 has 300 divisors, whose sum is σ = 198107939700. Its totient is φ = 13084139520.

The previous prime is 52132669187. The next prime is 52132669231. The reversal of 52132669200 is 296623125.

It can be written as a sum of positive squares in 6 ways, for example, as 5585469696 + 46547199504 = 74736^2 + 215748^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 503476 + ... + 598124.

It is an arithmetic number, because the mean of its divisors is an integer number (660359799).

Almost surely, 2^52132669200 is an apocalyptic number.

52132669200 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 52132669200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99053969850).

52132669200 is an abundant number, since it is smaller than the sum of its proper divisors (145975270500).

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

52132669200 is a wasteful number, since it uses less digits than its factorization.

52132669200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94696 (or 94676 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 52132669200 in words is "fifty-two billion, one hundred thirty-two million, six hundred sixty-nine thousand, two hundred".