19068400125 has 108 divisors (see below), whose sum is σ = 36135335964. Its totient is φ = 9673303200.

The previous prime is 19068400097. The next prime is 19068400151. The reversal of 19068400125 is 52100486091.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

19068400125 is a `hidden beast` number, since 190 + 68 + 400 + 1 + 2 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 610188804 + 18458211321 = 24702^2 + 135861^2 .

It is not a de Polignac number, because 19068400125 - 2⁶ = 19068400061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 19068400125.

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 107 ways as a sum of consecutive naturals, for example, 106527286 + ... + 106527464.

Almost surely, 2^19068400125 is an apocalyptic number.

19068400125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19068400125 is a deficient number, since it is larger than the sum of its proper divisors (17066935839).

19068400125 is an equidigital number, since it uses as much as digits as its factorization.

19068400125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 19068400125 in words is "nineteen billion, sixty-eight million, four hundred thousand, one hundred twenty-five".