12779738400 has 576 divisors, whose sum is σ = 51026734080. Its totient is φ = 2733772800.

The previous prime is 12779738393. The next prime is 12779738401. The reversal of 12779738400 is 483797721.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12779738400.

It is not an unprimeable number, because it can be changed into a prime (12779738401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7892791 + ... + 7894409.

It is an arithmetic number, because the mean of its divisors is an integer number (88588080).

Almost surely, 2^12779738400 is an apocalyptic number.

12779738400 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 12779738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25513367040).

12779738400 is an abundant number, since it is smaller than the sum of its proper divisors (38246995680).

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

12779738400 is a wasteful number, since it uses less digits than its factorization.

12779738400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 12779738400 in words is "twelve billion, seven hundred seventy-nine million, seven hundred thirty-eight thousand, four hundred".