6056638366506 has 128 divisors (see below), whose sum is σ = 15029528887296. Its totient is φ = 1584409559040.

The previous prime is 6056638366501. The next prime is 6056638366553.

6056638366506 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 6056638366506.

It is not an unprimeable number, because it can be changed into a prime (6056638366501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 430121386 + ... + 430135466.

It is an arithmetic number, because the mean of its divisors is an integer number (117418194432).

Almost surely, 2^{6056638366506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6056638366506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7514764443648).

6056638366506 is an abundant number, since it is smaller than the sum of its proper divisors (8972890520790).

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

6056638366506 is a wasteful number, since it uses less digits than its factorization.

6056638366506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20436.

The product of its (nonzero) digits is 83980800, while the sum is 60.

The spelling of 6056638366506 in words is "six trillion, fifty-six billion, six hundred thirty-eight million, three hundred sixty-six thousand, five hundred six".