12819786840 has 256 divisors, whose sum is σ = 49639680000. Its totient is φ = 2882096640.

The previous prime is 12819786839. The next prime is 12819786871. The reversal of 12819786840 is 4868791821.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 447261 + ... + 475059.

It is an arithmetic number, because the mean of its divisors is an integer number (193905000).

Almost surely, 2^12819786840 is an apocalyptic number.

12819786840 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 12819786840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24819840000).

12819786840 is an abundant number, since it is smaller than the sum of its proper divisors (36819893160).

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

12819786840 is a wasteful number, since it uses less digits than its factorization.

12819786840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27887 (or 27877 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 12819786840 in words is "twelve billion, eight hundred nineteen million, seven hundred eighty-six thousand, eight hundred forty".