63540421128 has 108 divisors (see below), whose sum is σ = 175316004045. Its totient is φ = 20790146880.

The previous prime is 63540421121. The next prime is 63540421171. The reversal of 63540421128 is 82112404536.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

63540421128 is a `hidden beast` number, since 6 + 35 + 404 + 211 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43040481444 + 20499939684 = 207462^2 + 143178^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=178242.

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

It is a junction number, because it is equal to n+sod(n) for n = 63540421092 and 63540421101.

It is not an unprimeable number, because it can be changed into a prime (63540421121) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 130472901 + ... + 130473387.

Almost surely, 2^63540421128 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 63540421128

63540421128 is an abundant number, since it is smaller than the sum of its proper divisors (111775582917).

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

63540421128 is an equidigital number, since it uses as much as digits as its factorization.

63540421128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 63540421128 in words is "sixty-three billion, five hundred forty million, four hundred twenty-one thousand, one hundred twenty-eight".