53316352224 has 192 divisors, whose sum is σ = 159467616000. Its totient is φ = 17321181696.

The previous prime is 53316352223. The next prime is 53316352247. The reversal of 53316352224 is 42225361335.

53316352224 is a `hidden beast` number, since 53 + 3 + 1 + 63 + 522 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53316352223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20915302 + ... + 20917850.

It is an arithmetic number, because the mean of its divisors is an integer number (830560500).

Almost surely, 2^53316352224 is an apocalyptic number.

53316352224 is a gapful number since it is divisible by the number (54) 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 53316352224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79733808000).

53316352224 is an abundant number, since it is smaller than the sum of its proper divisors (106151263776).

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

53316352224 is a wasteful number, since it uses less digits than its factorization.

53316352224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3160 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The spelling of 53316352224 in words is "fifty-three billion, three hundred sixteen million, three hundred fifty-two thousand, two hundred twenty-four".