12777344861560 has 128 divisors (see below), whose sum is σ = 30025270978560. Its totient is φ = 4889291097600.

The previous prime is 12777344861549. The next prime is 12777344861579. The reversal of 12777344861560 is 6516844377721.

It is a super-2 number, since 2×12777344861560² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 51929625 + ... + 52175095.

It is an arithmetic number, because the mean of its divisors is an integer number (234572429520).

Almost surely, 2^{12777344861560} is an apocalyptic number.

12777344861560 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 12777344861560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15012635489280).

12777344861560 is an abundant number, since it is smaller than the sum of its proper divisors (17247926117000).

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

12777344861560 is a wasteful number, since it uses less digits than its factorization.

12777344861560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246149 (or 246145 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 61.

The spelling of 12777344861560 in words is "twelve trillion, seven hundred seventy-seven billion, three hundred forty-four million, eight hundred sixty-one thousand, five hundred sixty".