42580608000 has 1056 divisors, whose sum is σ = 172408624128. Its totient is φ = 9289728000.

The previous prime is 42580607957. The next prime is 42580608013. The reversal of 42580608000 is 80608524.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 583295964 + ... + 583296036.

Almost surely, 2^42580608000 is an apocalyptic number.

42580608000 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 42580608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86204312064).

42580608000 is an abundant number, since it is smaller than the sum of its proper divisors (129828016128).

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

42580608000 is a wasteful number, since it uses less digits than its factorization.

42580608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 42580608000 in words is "forty-two billion, five hundred eighty million, six hundred eight thousand".