12782135767104 has 336 divisors, whose sum is σ = 40910142736320. Its totient is φ = 3782161797120.

The previous prime is 12782135767091. The next prime is 12782135767127. The reversal of 12782135767104 is 40176753128721.

12782135767104 is a `hidden beast` number, since 1 + 278 + 2 + 1 + 357 + 6 + 7 + 10 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1481295462 + ... + 1481304090.

Almost surely, 2^{12782135767104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12782135767104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20455071368160).

12782135767104 is an abundant number, since it is smaller than the sum of its proper divisors (28128006969216).

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

12782135767104 is a wasteful number, since it uses less digits than its factorization.

12782135767104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14138 (or 14125 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 12782135767104 in words is "twelve trillion, seven hundred eighty-two billion, one hundred thirty-five million, seven hundred sixty-seven thousand, one hundred four".