53375241600 has 576 divisors, whose sum is σ = 200130315840. Its totient is φ = 14044907520.

The previous prime is 53375241529. The next prime is 53375241607. The reversal of 53375241600 is 614257335.

53375241600 is a `hidden beast` number, since 5 + 3 + 3 + 7 + 5 + 2 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53375241607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64540387 + ... + 64541213.

It is an arithmetic number, because the mean of its divisors is an integer number (347448465).

Almost surely, 2^53375241600 is an apocalyptic number.

53375241600 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 53375241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100065157920).

53375241600 is an abundant number, since it is smaller than the sum of its proper divisors (146755074240).

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

53375241600 is an equidigital number, since it uses as much as digits as its factorization.

53375241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 53375241600 its reverse (614257335), we get a palindrome (53989498935).

The spelling of 53375241600 in words is "fifty-three billion, three hundred seventy-five million, two hundred forty-one thousand, six hundred".