12767771820 has 48 divisors (see below), whose sum is σ = 35793128448. Its totient is φ = 3400608960.

The previous prime is 12767771813. The next prime is 12767771831. The reversal of 12767771820 is 2817776721.

12767771820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12767771820² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12767771820.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 79036 + ... + 178275.

It is an arithmetic number, because the mean of its divisors is an integer number (745690176).

Almost surely, 2^12767771820 is an apocalyptic number.

12767771820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12767771820 is an abundant number, since it is smaller than the sum of its proper divisors (23025356628).

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

12767771820 is a wasteful number, since it uses less digits than its factorization.

12767771820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258150 (or 258148 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 48.

The spelling of 12767771820 in words is "twelve billion, seven hundred sixty-seven million, seven hundred seventy-one thousand, eight hundred twenty".