53146447200 has 864 divisors, whose sum is σ = 247439162880. Its totient is φ = 10391961600.

The previous prime is 53146447187. The next prime is 53146447201. The reversal of 53146447200 is 274464135.

53146447200 is a `hidden beast` number, since 5 + 3 + 1 + 4 + 6 + 447 + 200 = 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 (53146447201) 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 143 ways as a sum of consecutive naturals, for example, 9421981 + ... + 9427619.

It is an arithmetic number, because the mean of its divisors is an integer number (286387920).

Almost surely, 2^53146447200 is an apocalyptic number.

53146447200 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 53146447200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123719581440).

53146447200 is an abundant number, since it is smaller than the sum of its proper divisors (194292715680).

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

53146447200 is a wasteful number, since it uses less digits than its factorization.

53146447200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700 (or 5684 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 53146447200 in words is "fifty-three billion, one hundred forty-six million, four hundred forty-seven thousand, two hundred".