12771779328 has 720 divisors, whose sum is σ = 50097949440. Its totient is φ = 3135283200.

The previous prime is 12771779323. The next prime is 12771779351. The reversal of 12771779328 is 82397717721.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12771779323) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30336558 + ... + 30336978.

Almost surely, 2^12771779328 is an apocalyptic number.

12771779328 is a gapful number since it is divisible by the number (18) 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 12771779328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25048974720).

12771779328 is an abundant number, since it is smaller than the sum of its proper divisors (37326170112).

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

12771779328 is a wasteful number, since it uses less digits than its factorization.

12771779328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 463 counting only the distinct ones).

The product of its digits is 2074464, while the sum is 54.

The spelling of 12771779328 in words is "twelve billion, seven hundred seventy-one million, seven hundred seventy-nine thousand, three hundred twenty-eight".