19112163840 has 1680 divisors, whose sum is σ = 91776849120. Its totient is φ = 3762339840.

The previous prime is 19112163823. The next prime is 19112163841. The reversal of 19112163840 is 4836121191.

19112163840 is a `hidden beast` number, since 1 + 9 + 1 + 12 + 1 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-3 number, since 3×19112163840³ (a number of 32 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 19112163795 and 19112163804.

It is not an unprimeable number, because it can be changed into a prime (19112163841) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1005903351 + ... + 1005903369.

Almost surely, 2^19112163840 is an apocalyptic number.

19112163840 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 19112163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45888424560).

19112163840 is an abundant number, since it is smaller than the sum of its proper divisors (72664685280).

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

19112163840 is an equidigital number, since it uses as much as digits as its factorization.

19112163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 19112163840 in words is "nineteen billion, one hundred twelve million, one hundred sixty-three thousand, eight hundred forty".