52212224400 has 720 divisors, whose sum is σ = 202624066944. Its totient is φ = 11449589760.

The previous prime is 52212224381. The next prime is 52212224401. The reversal of 52212224400 is 442221225.

It is a super-2 number, since 2×52212224400² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52212224401) 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 143 ways as a sum of consecutive naturals, for example, 224086684 + ... + 224086916.

Almost surely, 2^52212224400 is an apocalyptic number.

52212224400 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 52212224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101312033472).

52212224400 is an abundant number, since it is smaller than the sum of its proper divisors (150411842544).

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

52212224400 is a wasteful number, since it uses less digits than its factorization.

52212224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 52212224400 its reverse (442221225), we get a palindrome (52654445625).

The spelling of 52212224400 in words is "fifty-two billion, two hundred twelve million, two hundred twenty-four thousand, four hundred".