42580257685272 has 256 divisors, whose sum is σ = 122663160000000. Its totient is φ = 13669740983808.

The previous prime is 42580257685241. The next prime is 42580257685331. The reversal of 42580257685272 is 27258675208524.

42580257685272 is a `hidden beast` number, since 4 + 2 + 5 + 8 + 0 + 2 + 576 + 8 + 52 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8350704979 + ... + 8350710077.

It is an arithmetic number, because the mean of its divisors is an integer number (479152968750).

Almost surely, 2^{42580257685272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42580257685272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61331580000000).

42580257685272 is an abundant number, since it is smaller than the sum of its proper divisors (80082902314728).

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

42580257685272 is a wasteful number, since it uses less digits than its factorization.

42580257685272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8215 (or 8205 counting only the distinct ones).

The product of its (nonzero) digits is 150528000, while the sum is 63.

The spelling of 42580257685272 in words is "forty-two trillion, five hundred eighty billion, two hundred fifty-seven million, six hundred eighty-five thousand, two hundred seventy-two".