19742827104 has 288 divisors, whose sum is σ = 75382804224. Its totient is φ = 4733475840.

The previous prime is 19742827019. The next prime is 19742827109. The reversal of 19742827104 is 40172824791.

19742827104 is a `hidden beast` number, since 197 + 428 + 27 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 19742827104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19742827109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254047 + ... + 322529.

It is an arithmetic number, because the mean of its divisors is an integer number (261745848).

Almost surely, 2^19742827104 is an apocalyptic number.

19742827104 is a gapful number since it is divisible by the number (14) 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 19742827104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37691402112).

19742827104 is an abundant number, since it is smaller than the sum of its proper divisors (55639977120).

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

19742827104 is a wasteful number, since it uses less digits than its factorization.

19742827104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68530 (or 68519 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 19742827104 in words is "nineteen billion, seven hundred forty-two million, eight hundred twenty-seven thousand, one hundred four".