42086588652 has 72 divisors (see below), whose sum is σ = 110255588352. Its totient is φ = 13522140000.

The previous prime is 42086588641. The next prime is 42086588659. The reversal of 42086588652 is 25688568024.

It is a happy number.

42086588652 is a `hidden beast` number, since 4 + 2 + 0 + 8 + 6 + 588 + 6 + 52 = 666.

It is not an unprimeable number, because it can be changed into a prime (42086588659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204993 + ... + 355239.

It is an arithmetic number, because the mean of its divisors is an integer number (1531327616).

Almost surely, 2^42086588652 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 42086588652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55127794176).

42086588652 is an abundant number, since it is smaller than the sum of its proper divisors (68168999700).

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

42086588652 is a wasteful number, since it uses less digits than its factorization.

42086588652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150539 (or 150534 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 42086588652 in words is "forty-two billion, eighty-six million, five hundred eighty-eight thousand, six hundred fifty-two".