52122523200 has 336 divisors, whose sum is σ = 188492977344. Its totient is φ = 12504268800.

The previous prime is 52122523199. The next prime is 52122523231. The reversal of 52122523200 is 232522125.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5116512 + ... + 5126688.

It is an arithmetic number, because the mean of its divisors is an integer number (560991004).

Almost surely, 2^52122523200 is an apocalyptic number.

52122523200 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 52122523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94246488672).

52122523200 is an abundant number, since it is smaller than the sum of its proper divisors (136370454144).

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

52122523200 is a wasteful number, since it uses less digits than its factorization.

52122523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10310 (or 10295 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 52122523200 in words is "fifty-two billion, one hundred twenty-two million, five hundred twenty-three thousand, two hundred".