12790069776 has 360 divisors, whose sum is σ = 42165690112. Its totient is φ = 3746476800.

The previous prime is 12790069759. The next prime is 12790069777. The reversal of 12790069776 is 67796009721.

It is a happy number.

12790069776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12790069777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14583450 + ... + 14584326.

Almost surely, 2^12790069776 is an apocalyptic number.

12790069776 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 12790069776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21082845056).

12790069776 is an abundant number, since it is smaller than the sum of its proper divisors (29375620336).

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

12790069776 is a wasteful number, since it uses less digits than its factorization.

12790069776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 12790069776 in words is "twelve billion, seven hundred ninety million, sixty-nine thousand, seven hundred seventy-six".