42851037768 has 192 divisors, whose sum is σ = 139215888000. Its totient is φ = 10746193920.

The previous prime is 42851037683. The next prime is 42851037799. The reversal of 42851037768 is 86773015824.

It is a super-2 number, since 2×42851037768² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42851037768.

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 47 ways as a sum of consecutive naturals, for example, 553168 + ... + 625856.

It is an arithmetic number, because the mean of its divisors is an integer number (725082750).

Almost surely, 2^42851037768 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 42851037768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69607944000).

42851037768 is an abundant number, since it is smaller than the sum of its proper divisors (96364850232).

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

42851037768 is a wasteful number, since it uses less digits than its factorization.

42851037768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72756 (or 72741 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 42851037768 in words is "forty-two billion, eight hundred fifty-one million, thirty-seven thousand, seven hundred sixty-eight".