52055217200 has 480 divisors, whose sum is σ = 155875737600. Its totient is φ = 16303472640.

The previous prime is 52055217197. The next prime is 52055217223. The reversal of 52055217200 is 271255025.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 409883537 + ... + 409883663.

It is an arithmetic number, because the mean of its divisors is an integer number (324741120).

Almost surely, 2^52055217200 is an apocalyptic number.

52055217200 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 52055217200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77937868800).

52055217200 is an abundant number, since it is smaller than the sum of its proper divisors (103820520400).

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

52055217200 is a wasteful number, since it uses less digits than its factorization.

52055217200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 29.

The spelling of 52055217200 in words is "fifty-two billion, fifty-five million, two hundred seventeen thousand, two hundred".