19929315840 has 640 divisors, whose sum is σ = 77780736000. Its totient is φ = 4252041216.

The previous prime is 19929315829. The next prime is 19929315863. The reversal of 19929315840 is 4851392991.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 111336871 + ... + 111337049.

It is an arithmetic number, because the mean of its divisors is an integer number (121532400).

Almost surely, 2^19929315840 is an apocalyptic number.

19929315840 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 19929315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38890368000).

19929315840 is an abundant number, since it is smaller than the sum of its proper divisors (57851420160).

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

19929315840 is a wasteful number, since it uses less digits than its factorization.

19929315840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The spelling of 19929315840 in words is "nineteen billion, nine hundred twenty-nine million, three hundred fifteen thousand, eight hundred forty".