42252705768 has 128 divisors (see below), whose sum is σ = 130089496320. Its totient is φ = 11136614400.

The previous prime is 42252705763. The next prime is 42252705787. The reversal of 42252705768 is 86750725224.

It is a super-2 number, since 2×42252705768² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42252705763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4146696 + ... + 4156872.

It is an arithmetic number, because the mean of its divisors is an integer number (1016324190).

Almost surely, 2^42252705768 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 42252705768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65044748160).

42252705768 is an abundant number, since it is smaller than the sum of its proper divisors (87836790552).

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

42252705768 is a wasteful number, since it uses less digits than its factorization.

42252705768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12107 (or 12103 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 42252705768 in words is "forty-two billion, two hundred fifty-two million, seven hundred five thousand, seven hundred sixty-eight".