42056688060 has 144 divisors (see below), whose sum is σ = 129467520000. Its totient is φ = 11049098112.

The previous prime is 42056688053. The next prime is 42056688061. The reversal of 42056688060 is 6088665024.

42056688060 is a `hidden beast` number, since 4 + 2 + 0 + 566 + 8 + 80 + 6 + 0 = 666.

It is a super-2 number, since 2×42056688060² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42056687997 and 42056688015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42056688061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7092817 + ... + 7098743.

It is an arithmetic number, because the mean of its divisors is an integer number (899080000).

Almost surely, 2^42056688060 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 42056688060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64733760000).

42056688060 is an abundant number, since it is smaller than the sum of its proper divisors (87410831940).

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

42056688060 is a wasteful number, since it uses less digits than its factorization.

42056688060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6520 (or 6515 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 42056688060 in words is "forty-two billion, fifty-six million, six hundred eighty-eight thousand, sixty".