53243164800 has 864 divisors, whose sum is σ = 228798051300. Its totient is φ = 11741184000.

The previous prime is 53243164763. The next prime is 53243164801. The reversal of 53243164800 is 846134235.

53243164800 is a `hidden beast` number, since 5 + 3 + 2 + 4 + 3 + 1 + 648 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4140150336 + 49103014464 = 64344^2 + 221592^2 .

It is a super-3 number, since 3×53243164800³ (a number of 33 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (53243164801) 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 107 ways as a sum of consecutive naturals, for example, 40924150 + ... + 40925450.

Almost surely, 2^53243164800 is an apocalyptic number.

53243164800 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 53243164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114399025650).

53243164800 is an abundant number, since it is smaller than the sum of its proper divisors (175554886500).

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

53243164800 is a wasteful number, since it uses less digits than its factorization.

53243164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 53243164800 in words is "fifty-three billion, two hundred forty-three million, one hundred sixty-four thousand, eight hundred".