53366264255200 has 288 divisors, whose sum is σ = 145191249977760. Its totient is φ = 19018279526400.

The previous prime is 53366264255077. The next prime is 53366264255201. The reversal of 53366264255200 is 255246266335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53366264255201) 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 47 ways as a sum of consecutive naturals, for example, 896023822 + ... + 896083378.

It is an arithmetic number, because the mean of its divisors is an integer number (504136284645).

Almost surely, 2^{53366264255200} is an apocalyptic number.

53366264255200 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 53366264255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72595624988880).

53366264255200 is an abundant number, since it is smaller than the sum of its proper divisors (91824985722560).

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

53366264255200 is a wasteful number, since it uses less digits than its factorization.

53366264255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62590 (or 62577 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 49.

The spelling of 53366264255200 in words is "fifty-three trillion, three hundred sixty-six billion, two hundred sixty-four million, two hundred fifty-five thousand, two hundred".