42853828896 has 480 divisors, whose sum is σ = 137009093760. Its totient is φ = 13105483776.

The previous prime is 42853828883. The next prime is 42853828907. The reversal of 42853828896 is 69882835824.

42853828896 is a `hidden beast` number, since 4 + 2 + 8 + 538 + 2 + 8 + 8 + 96 = 666.

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, 187134510 + ... + 187134738.

It is an arithmetic number, because the mean of its divisors is an integer number (285435612).

Almost surely, 2^42853828896 is an apocalyptic number.

42853828896 is a gapful number since it is divisible by the number (46) 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 42853828896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68504546880).

42853828896 is an abundant number, since it is smaller than the sum of its proper divisors (94155264864).

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

42853828896 is a wasteful number, since it uses less digits than its factorization.

42853828896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 373 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 42853828896 in words is "forty-two billion, eight hundred fifty-three million, eight hundred twenty-eight thousand, eight hundred ninety-six".