19201160160 has 960 divisors, whose sum is σ = 84995108352. Its totient is φ = 3990767616.

The previous prime is 19201160063. The next prime is 19201160213. The reversal of 19201160160 is 6106110291.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 286584447 + ... + 286584513.

Almost surely, 2^19201160160 is an apocalyptic number.

19201160160 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 19201160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42497554176).

19201160160 is an abundant number, since it is smaller than the sum of its proper divisors (65793948192).

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

19201160160 is an frugal number, since it uses more digits than its factorization.

19201160160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 19201160160 in words is "nineteen billion, two hundred one million, one hundred sixty thousand, one hundred sixty".