63535268880 has 240 divisors, whose sum is σ = 224844984000. Its totient is φ = 16033711104.

The previous prime is 63535268833. The next prime is 63535268887. The reversal of 63535268880 is 8886253536.

63535268880 is a `hidden beast` number, since 6 + 3 + 535 + 26 + 8 + 8 + 80 = 666.

63535268880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (63535268887) 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, 16810831 + ... + 16814609.

It is an arithmetic number, because the mean of its divisors is an integer number (936854100).

Almost surely, 2^63535268880 is an apocalyptic number.

63535268880 is a gapful number since it is divisible by the number (60) 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 63535268880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112422492000).

63535268880 is an abundant number, since it is smaller than the sum of its proper divisors (161309715120).

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

63535268880 is a wasteful number, since it uses less digits than its factorization.

63535268880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5046 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 63535268880 in words is "sixty-three billion, five hundred thirty-five million, two hundred sixty-eight thousand, eight hundred eighty".