19853010216 has 192 divisors, whose sum is σ = 59838979200. Its totient is φ = 5907396096.

The previous prime is 19853010179. The next prime is 19853010217. The reversal of 19853010216 is 61201035891.

19853010216 is a `hidden beast` number, since 1 + 9 + 8 + 530 + 102 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19853010217) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4143150 + ... + 4147938.

It is an arithmetic number, because the mean of its divisors is an integer number (311661350).

Almost surely, 2^19853010216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19853010216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29919489600).

19853010216 is an abundant number, since it is smaller than the sum of its proper divisors (39985968984).

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

19853010216 is a wasteful number, since it uses less digits than its factorization.

19853010216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4960 (or 4953 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 19853010216 in words is "nineteen billion, eight hundred fifty-three million, ten thousand, two hundred sixteen".