42586560000 has 1000 divisors, whose sum is σ = 167053575744. Its totient is φ = 10782720000.

The previous prime is 42586559933. The next prime is 42586560007. The reversal of 42586560000 is 6568524.

42586560000 is a `hidden beast` number, since 42 + 5 + 8 + 6 + 5 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1000).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42586560007) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 803519974 + ... + 803520026.

Almost surely, 2^42586560000 is an apocalyptic number.

42586560000 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 42586560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83526787872).

42586560000 is an abundant number, since it is smaller than the sum of its proper divisors (124467015744).

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

42586560000 is an frugal number, since it uses more digits than its factorization.

42586560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 42586560000 in words is "forty-two billion, five hundred eighty-six million, five hundred sixty thousand".