42854870880 has 480 divisors, whose sum is σ = 161290483200. Its totient is φ = 10684597248.

The previous prime is 42854870813. The next prime is 42854870909. The reversal of 42854870880 is 8807845824.

42854870880 is a `hidden beast` number, since 4 + 2 + 85 + 487 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19451859 + ... + 19454061.

It is an arithmetic number, because the mean of its divisors is an integer number (336021840).

Almost surely, 2^42854870880 is an apocalyptic number.

42854870880 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 42854870880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80645241600).

42854870880 is an abundant number, since it is smaller than the sum of its proper divisors (118435612320).

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

42854870880 is a wasteful number, since it uses less digits than its factorization.

42854870880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 42854870880 in words is "forty-two billion, eight hundred fifty-four million, eight hundred seventy thousand, eight hundred eighty".