12779889094656 has 728 divisors, whose sum is σ = 40744382523520. Its totient is φ = 3996572368896.

The previous prime is 12779889094579. The next prime is 12779889094669. The reversal of 12779889094656 is 65649098897721.

12779889094656 is a `hidden beast` number, since 1 + 2 + 7 + 79 + 8 + 89 + 0 + 9 + 465 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

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 55 ways as a sum of consecutive naturals, for example, 124076593101 + ... + 124076593203.

Almost surely, 2^{12779889094656} is an apocalyptic number.

12779889094656 is a gapful number since it is divisible by the number (16) 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 12779889094656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20372191261760).

12779889094656 is an abundant number, since it is smaller than the sum of its proper divisors (27964493428864).

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

12779889094656 is an frugal number, since it uses more digits than its factorization.

12779889094656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3292047360, while the sum is 81.

The spelling of 12779889094656 in words is "twelve trillion, seven hundred seventy-nine billion, eight hundred eighty-nine million, ninety-four thousand, six hundred fifty-six".