19104190560 has 864 divisors, whose sum is σ = 83289941280. Its totient is φ = 3951230976.

The previous prime is 19104190513. The next prime is 19104190571. The reversal of 19104190560 is 6509140191.

19104190560 is a `hidden beast` number, since 1 + 9 + 1 + 0 + 4 + 1 + 90 + 560 = 666.

It is a super-2 number, since 2×19104190560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54119344 + ... + 54119696.

It is an arithmetic number, because the mean of its divisors is an integer number (96400395).

Almost surely, 2^19104190560 is an apocalyptic number.

19104190560 is a gapful number since it is divisible by the number (10) 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 19104190560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41644970640).

19104190560 is an abundant number, since it is smaller than the sum of its proper divisors (64185750720).

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

19104190560 is a wasteful number, since it uses less digits than its factorization.

19104190560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 19104190560 in words is "nineteen billion, one hundred four million, one hundred ninety thousand, five hundred sixty".