42589181664 has 72 divisors (see below), whose sum is σ = 121541179032. Its totient is φ = 14146202880.

The previous prime is 42589181651. The next prime is 42589181671. The reversal of 42589181664 is 46618198524.

42589181664 is a `hidden beast` number, since 42 + 589 + 1 + 8 + 16 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×42589181664³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42589181664.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 179767 + ... + 342774.

It is an arithmetic number, because the mean of its divisors is an integer number (1688071931).

Almost surely, 2^42589181664 is an apocalyptic number.

It is an amenable number.

42589181664 is an abundant number, since it is smaller than the sum of its proper divisors (78951997368).

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

42589181664 is a wasteful number, since it uses less digits than its factorization.

42589181664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522840 (or 522829 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 42589181664 in words is "forty-two billion, five hundred eighty-nine million, one hundred eighty-one thousand, six hundred sixty-four".