19380586680 has 768 divisors, whose sum is σ = 81265766400. Its totient is φ = 3896709120.

The previous prime is 19380586657. The next prime is 19380586681. The reversal of 19380586680 is 8668508391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19380586681) 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, 71514945 + ... + 71515215.

It is an arithmetic number, because the mean of its divisors is an integer number (105814800).

Almost surely, 2^19380586680 is an apocalyptic number.

19380586680 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 19380586680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40632883200).

19380586680 is an abundant number, since it is smaller than the sum of its proper divisors (61885179720).

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

19380586680 is a wasteful number, since it uses less digits than its factorization.

19380586680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 19380586680 in words is "nineteen billion, three hundred eighty million, five hundred eighty-six thousand, six hundred eighty".