53136325336600 has 576 divisors, whose sum is σ = 141761570116320. Its totient is φ = 18493719552000.

The previous prime is 53136325336597. The next prime is 53136325336663. The reversal of 53136325336600 is 663352363135.

It is a happy number.

53136325336600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18598642372 + ... + 18598645228.

Almost surely, 2^{53136325336600} is an apocalyptic number.

53136325336600 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 53136325336600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70880785058160).

53136325336600 is an abundant number, since it is smaller than the sum of its proper divisors (88625244779720).

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

53136325336600 is a wasteful number, since it uses less digits than its factorization.

53136325336600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 46.

Adding to 53136325336600 its reverse (663352363135), we get a palindrome (53799677699735).

The spelling of 53136325336600 in words is "fifty-three trillion, one hundred thirty-six billion, three hundred twenty-five million, three hundred thirty-six thousand, six hundred".