42085967688 has 60 divisors (see below), whose sum is σ = 117894306915. Its totient is φ = 14026915152.

The previous prime is 42085967659. The next prime is 42085967701. The reversal of 42085967688 is 88676958024.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 21042983844 + 21042983844 = 145062^2 + 145062^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=145062.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5218203 + ... + 5226261.

Almost surely, 2^42085967688 is an apocalyptic number.

It is an amenable number.

42085967688 is an abundant number, since it is smaller than the sum of its proper divisors (75808339227).

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

42085967688 is an frugal number, since it uses more digits than its factorization.

42085967688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16136 (or 8064 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 42085967688 in words is "forty-two billion, eighty-five million, nine hundred sixty-seven thousand, six hundred eighty-eight".