42884555560 has 256 divisors, whose sum is σ = 125437870080. Its totient is φ = 12804480000.

The previous prime is 42884555557. The next prime is 42884555633. The reversal of 42884555560 is 6555548824.

42884555560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42884555498 and 42884555507.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9641257 + ... + 9645703.

It is an arithmetic number, because the mean of its divisors is an integer number (489991680).

Almost surely, 2^42884555560 is an apocalyptic number.

42884555560 is a gapful number since it is divisible by the number (40) 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 42884555560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62718935040).

42884555560 is an abundant number, since it is smaller than the sum of its proper divisors (82553314520).

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

42884555560 is a wasteful number, since it uses less digits than its factorization.

42884555560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608 (or 4604 counting only the distinct ones).

The product of its (nonzero) digits is 7680000, while the sum is 52.

The spelling of 42884555560 in words is "forty-two billion, eight hundred eighty-four million, five hundred fifty-five thousand, five hundred sixty".