53121355200 has 1344 divisors, whose sum is σ = 223142860800. Its totient is φ = 12361973760.

The previous prime is 53121355163. The next prime is 53121355207. The reversal of 53121355200 is 255312135.

It is a happy number.

53121355200 is a `hidden beast` number, since 5 + 3 + 1 + 2 + 135 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53121355207) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1130241577 + ... + 1130241623.

Almost surely, 2^53121355200 is an apocalyptic number.

53121355200 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 53121355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111571430400).

53121355200 is an abundant number, since it is smaller than the sum of its proper divisors (170021505600).

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

53121355200 is a wasteful number, since it uses less digits than its factorization.

53121355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 53121355200 its reverse (255312135), we get a palindrome (53376667335).

It can be divided in two parts, 53121 and 355200, that added together give a square (408321 = 639²).

The spelling of 53121355200 in words is "fifty-three billion, one hundred twenty-one million, three hundred fifty-five thousand, two hundred".