13819207824 has 120 divisors (see below), whose sum is σ = 40364222080. Its totient is φ = 4576860288.

The previous prime is 13819207823. The next prime is 13819207867. The reversal of 13819207824 is 42870291831.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13819207824.

It is not an unprimeable number, because it can be changed into a prime (13819207823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599097 + ... + 621735.

Almost surely, 2^13819207824 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 13819207824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20182111040).

13819207824 is an abundant number, since it is smaller than the sum of its proper divisors (26545014256).

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

13819207824 is a wasteful number, since it uses less digits than its factorization.

13819207824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22819 (or 22801 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 13819207824 in words is "thirteen billion, eight hundred nineteen million, two hundred seven thousand, eight hundred twenty-four".