19872568224 has 72 divisors (see below), whose sum is σ = 56636650980. Its totient is φ = 6609650688.

The previous prime is 19872568213. The next prime is 19872568229. The reversal of 19872568224 is 42286527891.

19872568224 is a `hidden beast` number, since 1 + 9 + 8 + 72 + 568 + 2 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19246567824 + 626000400 = 138732^2 + 25020^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (19872568229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56122 + ... + 207110.

Almost surely, 2^19872568224 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 19872568224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28318325490).

19872568224 is an abundant number, since it is smaller than the sum of its proper divisors (36764082756).

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

19872568224 is a wasteful number, since it uses less digits than its factorization.

19872568224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151462 (or 151451 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 19872568224 in words is "nineteen billion, eight hundred seventy-two million, five hundred sixty-eight thousand, two hundred twenty-four".