42508589760 has 2016 divisors, whose sum is σ = 204897288960. Its totient is φ = 7976779776.

The previous prime is 42508589759. The next prime is 42508589771. The reversal of 42508589760 is 6798580524.

42508589760 is a `hidden beast` number, since 4 + 2 + 50 + 8 + 589 + 7 + 6 + 0 = 666.

42508589760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a junction number, because it is equal to n+sod(n) for n = 42508589697 and 42508589706.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 904438057 + ... + 904438103.

It is an arithmetic number, because the mean of its divisors is an integer number (101635560).

Almost surely, 2^42508589760 is an apocalyptic number.

42508589760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42508589760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102448644480).

42508589760 is an abundant number, since it is smaller than the sum of its proper divisors (162388699200).

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

42508589760 is a wasteful number, since it uses less digits than its factorization.

42508589760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 42508589760 in words is "forty-two billion, five hundred eight million, five hundred eighty-nine thousand, seven hundred sixty".