53088235200 has 2016 divisors, whose sum is σ = 264143093760. Its totient is φ = 9754214400.

The previous prime is 53088235181. The next prime is 53088235201. The reversal of 53088235200 is 253288035.

53088235200 is a `hidden beast` number, since 5 + 30 + 88 + 23 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 (53088235201) 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, 418017537 + ... + 418017663.

It is an arithmetic number, because the mean of its divisors is an integer number (131023360).

Almost surely, 2^53088235200 is an apocalyptic number.

53088235200 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 53088235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132071546880).

53088235200 is an abundant number, since it is smaller than the sum of its proper divisors (211054858560).

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

53088235200 is a wasteful number, since it uses less digits than its factorization.

53088235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 53088235200 in words is "fifty-three billion, eighty-eight million, two hundred thirty-five thousand, two hundred".