53226331200 has 1344 divisors, whose sum is σ = 234300003840. Its totient is φ = 11645337600.

The previous prime is 53226331183. The next prime is 53226331201. The reversal of 53226331200 is 213362235.

53226331200 is a `hidden beast` number, since 5 + 3 + 2 + 2 + 633 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (53226331201) 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 191 ways as a sum of consecutive naturals, for example, 1004270374 + ... + 1004270426.

It is an arithmetic number, because the mean of its divisors is an integer number (174330360).

Almost surely, 2^53226331200 is an apocalyptic number.

53226331200 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 53226331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117150001920).

53226331200 is an abundant number, since it is smaller than the sum of its proper divisors (181073672640).

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

53226331200 is an equidigital number, since it uses as much as digits as its factorization.

53226331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 53226331200 its reverse (213362235), we get a palindrome (53439693435).

The spelling of 53226331200 in words is "fifty-three billion, two hundred twenty-six million, three hundred thirty-one thousand, two hundred".