19135640640 has 224 divisors, whose sum is σ = 64646031744. Its totient is φ = 4779048960.

The previous prime is 19135640609. The next prime is 19135640681. The reversal of 19135640640 is 4604653191.

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 31 ways as a sum of consecutive naturals, for example, 3440742 + ... + 3446298.

It is an arithmetic number, because the mean of its divisors is an integer number (288598356).

Almost surely, 2^19135640640 is an apocalyptic number.

19135640640 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 19135640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32323015872).

19135640640 is an abundant number, since it is smaller than the sum of its proper divisors (45510391104).

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

19135640640 is a wasteful number, since it uses less digits than its factorization.

19135640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5805 (or 5795 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 19135640640 in words is "nineteen billion, one hundred thirty-five million, six hundred forty thousand, six hundred forty".