19807285680 has 720 divisors, whose sum is σ = 87756570720. Its totient is φ = 3957424128.

The previous prime is 19807285651. The next prime is 19807285681. The reversal of 19807285680 is 8658270891.

19807285680 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 72 + 8 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (19807285681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8713024 + ... + 8715296.

It is an arithmetic number, because the mean of its divisors is an integer number (121884126).

Almost surely, 2^19807285680 is an apocalyptic number.

19807285680 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 19807285680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43878285360).

19807285680 is an abundant number, since it is smaller than the sum of its proper divisors (67949285040).

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

19807285680 is a wasteful number, since it uses less digits than its factorization.

19807285680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 19807285680 in words is "nineteen billion, eight hundred seven million, two hundred eighty-five thousand, six hundred eighty".