42875883712608 has 48 divisors (see below), whose sum is σ = 119169735617520. Its totient is φ = 13451257634816.

The previous prime is 42875883712601. The next prime is 42875883712609. The reversal of 42875883712608 is 80621738857824.

42875883712608 is digitally balanced in base 2 and base 5, because in such bases 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42875883712601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13135992153 + ... + 13135995416.

It is an arithmetic number, because the mean of its divisors is an integer number (2482702825365).

Almost surely, 2^{42875883712608} is an apocalyptic number.

42875883712608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42875883712608 is an abundant number, since it is smaller than the sum of its proper divisors (76293851904912).

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

42875883712608 is a wasteful number, since it uses less digits than its factorization.

42875883712608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26271987599 (or 26271987591 counting only the distinct ones).

The product of its (nonzero) digits is 289013760, while the sum is 69.

The spelling of 42875883712608 in words is "forty-two trillion, eight hundred seventy-five billion, eight hundred eighty-three million, seven hundred twelve thousand, six hundred eight".