53563219200 has 648 divisors, whose sum is σ = 213511334400. Its totient is φ = 12731351040.

The previous prime is 53563219189. The next prime is 53563219247. The reversal of 53563219200 is 291236535.

53563219200 is a `hidden beast` number, since 5 + 3 + 5 + 632 + 19 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18603361 + ... + 18606239.

It is an arithmetic number, because the mean of its divisors is an integer number (329492800).

Almost surely, 2^53563219200 is an apocalyptic number.

53563219200 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 53563219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106755667200).

53563219200 is an abundant number, since it is smaller than the sum of its proper divisors (159948115200).

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

53563219200 is a wasteful number, since it uses less digits than its factorization.

53563219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 53563219200 in words is "fifty-three billion, five hundred sixty-three million, two hundred nineteen thousand, two hundred".