63520355806128 has 240 divisors, whose sum is σ = 194061950802720. Its totient is φ = 19278950731776.

The previous prime is 63520355806123. The next prime is 63520355806151. The reversal of 63520355806128 is 82160855302536.

It is a happy number.

63520355806128 is a `hidden beast` number, since 6 + 3 + 5 + 2 + 0 + 3 + 558 + 0 + 61 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (63520355806123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45990318 + ... + 47351346.

It is an arithmetic number, because the mean of its divisors is an integer number (808591461678).

Almost surely, 2^{63520355806128} 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 63520355806128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97030975401360).

63520355806128 is an abundant number, since it is smaller than the sum of its proper divisors (130541594996592).

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

63520355806128 is a wasteful number, since it uses less digits than its factorization.

63520355806128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361396 (or 1361387 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 63520355806128 in words is "sixty-three trillion, five hundred twenty billion, three hundred fifty-five million, eight hundred six thousand, one hundred twenty-eight".