42805258056 has 320 divisors, whose sum is σ = 135667445760. Its totient is φ = 12492144000.

The previous prime is 42805258021. The next prime is 42805258073. The reversal of 42805258056 is 65085250824.

It is a happy number.

42805258056 is a `hidden beast` number, since 42 + 8 + 0 + 525 + 80 + 5 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67836861 + ... + 67837491.

It is an arithmetic number, because the mean of its divisors is an integer number (423960768).

Almost surely, 2^42805258056 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 42805258056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67833722880).

42805258056 is an abundant number, since it is smaller than the sum of its proper divisors (92862187704).

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

42805258056 is a wasteful number, since it uses less digits than its factorization.

42805258056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 42805258056 in words is "forty-two billion, eight hundred five million, two hundred fifty-eight thousand, fifty-six".