12773075328 has 384 divisors, whose sum is σ = 42415027200. Its totient is φ = 3799664640.

The previous prime is 12773075311. The next prime is 12773075339. The reversal of 12773075328 is 82357037721.

It is a happy number.

12773075328 is a `hidden beast` number, since 1 + 277 + 307 + 53 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 12534403 + ... + 12535421.

It is an arithmetic number, because the mean of its divisors is an integer number (110455800).

Almost surely, 2^12773075328 is an apocalyptic number.

12773075328 is a gapful number since it is divisible by the number (18) 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 12773075328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21207513600).

12773075328 is an abundant number, since it is smaller than the sum of its proper divisors (29641951872).

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

12773075328 is a wasteful number, since it uses less digits than its factorization.

12773075328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 12773075328 in words is "twelve billion, seven hundred seventy-three million, seventy-five thousand, three hundred twenty-eight".