53327835648 has 320 divisors, whose sum is σ = 167189299200. Its totient is φ = 16736440320.

The previous prime is 53327835643. The next prime is 53327835683. The reversal of 53327835648 is 84653872335.

It is a happy number.

53327835648 is a `hidden beast` number, since 5 + 3 + 3 + 2 + 78 + 3 + 564 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 53327835594 and 53327835603.

It is not an unprimeable number, because it can be changed into a prime (53327835643) 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 31 ways as a sum of consecutive naturals, for example, 50166765 + ... + 50167827.

It is an arithmetic number, because the mean of its divisors is an integer number (522466560).

Almost surely, 2^53327835648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53327835648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83594649600).

53327835648 is an abundant number, since it is smaller than the sum of its proper divisors (113861463552).

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

53327835648 is a wasteful number, since it uses less digits than its factorization.

53327835648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1278 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 53327835648 in words is "fifty-three billion, three hundred twenty-seven million, eight hundred thirty-five thousand, six hundred forty-eight".