19979314872 has 512 divisors, whose sum is σ = 64795852800. Its totient is φ = 5048524800.

The previous prime is 19979314867. The next prime is 19979314909. The reversal of 19979314872 is 27841397991.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119636533 + ... + 119636699.

It is an arithmetic number, because the mean of its divisors is an integer number (126554400).

Almost surely, 2^19979314872 is an apocalyptic number.

19979314872 is a gapful number since it is divisible by the number (12) 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 19979314872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32397926400).

19979314872 is an abundant number, since it is smaller than the sum of its proper divisors (44816537928).

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

19979314872 is a wasteful number, since it uses less digits than its factorization.

19979314872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 303 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 60.

The spelling of 19979314872 in words is "nineteen billion, nine hundred seventy-nine million, three hundred fourteen thousand, eight hundred seventy-two".