19348680960 has 648 divisors, whose sum is σ = 78735174336. Its totient is φ = 4373913600.

The previous prime is 19348680959. The next prime is 19348680991. The reversal of 19348680960 is 6908684391.

It is a junction number, because it is equal to n+sod(n) for n = 19348680897 and 19348680906.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85236367 + ... + 85236593.

Almost surely, 2^19348680960 is an apocalyptic number.

19348680960 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 19348680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39367587168).

19348680960 is an abundant number, since it is smaller than the sum of its proper divisors (59386493376).

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

19348680960 is a wasteful number, since it uses less digits than its factorization.

19348680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 19348680960 in words is "nineteen billion, three hundred forty-eight million, six hundred eighty thousand, nine hundred sixty".