12779223531360 has 384 divisors, whose sum is σ = 48184380389376. Its totient is φ = 2805729239040.

The previous prime is 12779223531359. The next prime is 12779223531367. The reversal of 12779223531360 is 6313532297721.

It is a super-3 number, since 3×12779223531360³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12779223531367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1881529 + ... + 5394311.

It is an arithmetic number, because the mean of its divisors is an integer number (125480157264).

Almost surely, 2^{12779223531360} is an apocalyptic number.

12779223531360 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 12779223531360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24092190194688).

12779223531360 is an abundant number, since it is smaller than the sum of its proper divisors (35405156858016).

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

12779223531360 is a wasteful number, since it uses less digits than its factorization.

12779223531360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512878 (or 3512870 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 51.

The spelling of 12779223531360 in words is "twelve trillion, seven hundred seventy-nine billion, two hundred twenty-three million, five hundred thirty-one thousand, three hundred sixty".