42607565056 has 243 divisors, whose sum is σ = 105502858209. Its totient is φ = 17120968704.

The previous prime is 42607565027. The next prime is 42607565057. The reversal of 42607565056 is 65056570624.

The square root of 42607565056 is 206416.

It is a perfect power (a square), and thus also a powerful number.

42607565056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 19132422400 + 23475142656 = 138320^2 + 153216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42607564997 and 42607565015.

It is not an unprimeable number, because it can be changed into a prime (42607565057) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 439253200 + ... + 439253296.

Almost surely, 2^42607565056 is an apocalyptic number.

42607565056 is the 206416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42607565056

42607565056 is an abundant number, since it is smaller than the sum of its proper divisors (62895293153).

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

42607565056 is an frugal number, since it uses more digits than its factorization.

42607565056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 46.

The spelling of 42607565056 in words is "forty-two billion, six hundred seven million, five hundred sixty-five thousand, fifty-six".