12777824680992 has 144 divisors (see below), whose sum is σ = 42540806835072. Its totient is φ = 3561762954240.

The previous prime is 12777824680979. The next prime is 12777824680993. The reversal of 12777824680992 is 29908642877721.

12777824680992 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 78 + 2 + 468 + 0 + 9 + 92 = 666.

12777824680992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12777824680992² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 12777824680992.

It is not an unprimeable number, because it can be changed into a prime (12777824680993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77212548 + ... + 77377859.

It is an arithmetic number, because the mean of its divisors is an integer number (295422269688).

Almost surely, 2^{12777824680992} is an apocalyptic number.

12777824680992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12777824680992 is an abundant number, since it is smaller than the sum of its proper divisors (29762982154080).

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

12777824680992 is a wasteful number, since it uses less digits than its factorization.

12777824680992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154590471 (or 154590460 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 12777824680992 in words is "twelve trillion, seven hundred seventy-seven billion, eight hundred twenty-four million, six hundred eighty thousand, nine hundred ninety-two".