19586110068 has 126 divisors (see below), whose sum is σ = 59780675346. Its totient is φ = 5595990624.

The previous prime is 19586110051. The next prime is 19586110087. The reversal of 19586110068 is 86001168591.

19586110068 is a `hidden beast` number, since 1 + 9 + 586 + 1 + 1 + 0 + 0 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10727159184 + 8858950884 = 103572^2 + 94122^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 74346 + ... + 211422.

Almost surely, 2^19586110068 is an apocalyptic number.

19586110068 is a gapful number since it is divisible by the number (18) 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 19586110068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29890337673).

19586110068 is an abundant number, since it is smaller than the sum of its proper divisors (40194565278).

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

19586110068 is a wasteful number, since it uses less digits than its factorization.

19586110068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137113 (or 137089 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 19586110068 in words is "nineteen billion, five hundred eighty-six million, one hundred ten thousand, sixty-eight".