19509475104 has 384 divisors, whose sum is σ = 68414976000. Its totient is φ = 5288177664.

The previous prime is 19509475103. The next prime is 19509475123. The reversal of 19509475104 is 40157490591.

19509475104 is a `hidden beast` number, since 1 + 95 + 0 + 9 + 47 + 510 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 19509475104.

It is not an unprimeable number, because it can be changed into a prime (19509475103) 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 63 ways as a sum of consecutive naturals, for example, 19334952 + ... + 19335960.

It is an arithmetic number, because the mean of its divisors is an integer number (178164000).

Almost surely, 2^19509475104 is an apocalyptic number.

19509475104 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 19509475104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34207488000).

19509475104 is an abundant number, since it is smaller than the sum of its proper divisors (48905500896).

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

19509475104 is a wasteful number, since it uses less digits than its factorization.

19509475104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 19509475104 in words is "nineteen billion, five hundred nine million, four hundred seventy-five thousand, one hundred four".