53506245427200 has 2304 divisors, whose sum is σ = 213933506754240. Its totient is φ = 13209037701120.

The previous prime is 53506245427199. The next prime is 53506245427207. The reversal of 53506245427200 is 272454260535.

53506245427200 is a `hidden beast` number, since 5 + 3 + 506 + 24 + 54 + 2 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (53506245427207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 328259174319 + ... + 328259174481.

Almost surely, 2^{53506245427200} is an apocalyptic number.

53506245427200 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 53506245427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106966753377120).

53506245427200 is an abundant number, since it is smaller than the sum of its proper divisors (160427261327040).

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

53506245427200 is an equidigital number, since it uses as much as digits as its factorization.

53506245427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

Adding to 53506245427200 its reverse (272454260535), we get a palindrome (53778699687735).

The spelling of 53506245427200 in words is "fifty-three trillion, five hundred six billion, two hundred forty-five million, four hundred twenty-seven thousand, two hundred".