52638735168 has 210 divisors, whose sum is σ = 158781648146. Its totient is φ = 17242937856.

The previous prime is 52638735161. The next prime is 52638735173. The reversal of 52638735168 is 86153783625.

52638735168 is a `hidden beast` number, since 5 + 26 + 38 + 73 + 516 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52620689664 + 18045504 = 229392^2 + 4248^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52638735161) 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 29 ways as a sum of consecutive naturals, for example, 18044046 + ... + 18046962.

Almost surely, 2^52638735168 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 52638735168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79390824073).

52638735168 is an abundant number, since it is smaller than the sum of its proper divisors (106142912978).

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

52638735168 is an equidigital number, since it uses as much as digits as its factorization.

52638735168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 2981 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 52638735168 in words is "fifty-two billion, six hundred thirty-eight million, seven hundred thirty-five thousand, one hundred sixty-eight".