19130791680 has 1728 divisors, whose sum is σ = 93952051200. Its totient is φ = 3622993920.

The previous prime is 19130791663. The next prime is 19130791681. The reversal of 19130791680 is 8619703191.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19130791681) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 242161881 + ... + 242161959.

It is an arithmetic number, because the mean of its divisors is an integer number (54370400).

Almost surely, 2^19130791680 is an apocalyptic number.

19130791680 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 19130791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46976025600).

19130791680 is an abundant number, since it is smaller than the sum of its proper divisors (74821259520).

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

19130791680 is a wasteful number, since it uses less digits than its factorization.

19130791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 19130791680 in words is "nineteen billion, one hundred thirty million, seven hundred ninety-one thousand, six hundred eighty".