52221390400 has 189 divisors, whose sum is σ = 133759956889. Its totient is φ = 20065884160.

The previous prime is 52221390367. The next prime is 52221390401. The reversal of 52221390400 is 409312225.

The square root of 52221390400 is 228520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 3454618176 + 48766772224 = 58776^2 + 220832^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52221390401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 265083102 + ... + 265083298.

Almost surely, 2^52221390400 is an apocalyptic number.

52221390400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52221390400 is the 228520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52221390400

52221390400 is an abundant number, since it is smaller than the sum of its proper divisors (81538566489).

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

52221390400 is an equidigital number, since it uses as much as digits as its factorization.

52221390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 52221390400 in words is "fifty-two billion, two hundred twenty-one million, three hundred ninety thousand, four hundred".