19130204160 has 540 divisors, whose sum is σ = 71062186104. Its totient is φ = 4936826880.

The previous prime is 19130204153. The next prime is 19130204179. The reversal of 19130204160 is 6140203191.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×19130204160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 617103345 + ... + 617103375.

Almost surely, 2^19130204160 is an apocalyptic number.

19130204160 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 19130204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35531093052).

19130204160 is an abundant number, since it is smaller than the sum of its proper divisors (51931981944).

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

19130204160 is an frugal number, since it uses more digits than its factorization.

19130204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 19130204160 in words is "nineteen billion, one hundred thirty million, two hundred four thousand, one hundred sixty".