53415331200 has 2304 divisors, whose sum is σ = 262997452800. Its totient is φ = 10450944000.

The previous prime is 53415331171. The next prime is 53415331243. The reversal of 53415331200 is 213351435.

53415331200 is a `hidden beast` number, since 5 + 3 + 4 + 1 + 533 + 120 + 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 an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1443657582 + ... + 1443657618.

It is an arithmetic number, because the mean of its divisors is an integer number (114148200).

Almost surely, 2^53415331200 is an apocalyptic number.

53415331200 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 53415331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131498726400).

53415331200 is an abundant number, since it is smaller than the sum of its proper divisors (209582121600).

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

53415331200 is a wasteful number, since it uses less digits than its factorization.

53415331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 53415331200 its reverse (213351435), we get a palindrome (53628682635).

The spelling of 53415331200 in words is "fifty-three billion, four hundred fifteen million, three hundred thirty-one thousand, two hundred".