12777920320 has 112 divisors (see below), whose sum is σ = 33273187200. Its totient is φ = 4635371520.

The previous prime is 12777920297. The next prime is 12777920321. The reversal of 12777920320 is 2302977721.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12777920321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1541146 + ... + 1549414.

Almost surely, 2^12777920320 is an apocalyptic number.

12777920320 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 12777920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16636593600).

12777920320 is an abundant number, since it is smaller than the sum of its proper divisors (20495266880).

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

12777920320 is a wasteful number, since it uses less digits than its factorization.

12777920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8736 (or 8726 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 40.

The spelling of 12777920320 in words is "twelve billion, seven hundred seventy-seven million, nine hundred twenty thousand, three hundred twenty".