53389264687200 has 1728 divisors, whose sum is σ = 222710584985280. Its totient is φ = 12294946160640.

The previous prime is 53389264687163. The next prime is 53389264687201. The reversal of 53389264687200 is 278646298335.

It is a happy number.

53389264687200 is a `hidden beast` number, since 5 + 3 + 3 + 89 + 26 + 468 + 72 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53389264687201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10735823914 + ... + 10735828886.

It is an arithmetic number, because the mean of its divisors is an integer number (128883440385).

Almost surely, 2^{53389264687200} is an apocalyptic number.

53389264687200 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 53389264687200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111355292492640).

53389264687200 is an abundant number, since it is smaller than the sum of its proper divisors (169321320298080).

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

53389264687200 is a wasteful number, since it uses less digits than its factorization.

53389264687200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5218 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 53389264687200 in words is "fifty-three trillion, three hundred eighty-nine billion, two hundred sixty-four million, six hundred eighty-seven thousand, two hundred".