19681852320 has 288 divisors, whose sum is σ = 72484291152. Its totient is φ = 4834492416.

The previous prime is 19681852319. The next prime is 19681852321. The reversal of 19681852320 is 2325818691.

19681852320 is a `hidden beast` number, since 1 + 96 + 8 + 18 + 523 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (19681852319) and next prime (19681852321).

It can be written as a sum of positive squares in 8 ways, for example, as 7074155664 + 12607696656 = 84108^2 + 112284^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (19681852321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12672664 + ... + 12674216.

Almost surely, 2^19681852320 is an apocalyptic number.

19681852320 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 19681852320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36242145576).

19681852320 is an abundant number, since it is smaller than the sum of its proper divisors (52802438832).

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

19681852320 is a wasteful number, since it uses less digits than its factorization.

19681852320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 19681852320 in words is "nineteen billion, six hundred eighty-one million, eight hundred fifty-two thousand, three hundred twenty".