42581882160 has 240 divisors, whose sum is σ = 149067456096. Its totient is φ = 10882916352.

The previous prime is 42581882143. The next prime is 42581882207. The reversal of 42581882160 is 6128818524.

42581882160 is a `hidden beast` number, since 4 + 2 + 581 + 8 + 8 + 2 + 1 + 60 = 666.

42581882160 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1772952 + ... + 1796808.

Almost surely, 2^42581882160 is an apocalyptic number.

42581882160 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 42581882160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74533728048).

42581882160 is an abundant number, since it is smaller than the sum of its proper divisors (106485573936).

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

42581882160 is a wasteful number, since it uses less digits than its factorization.

42581882160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23980 (or 23971 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 42581882160 in words is "forty-two billion, five hundred eighty-one million, eight hundred eighty-two thousand, one hundred sixty".