12772893600 has 432 divisors, whose sum is σ = 47425839552. Its totient is φ = 3228487680.

The previous prime is 12772893587. The next prime is 12772893607. The reversal of 12772893600 is 639827721.

12772893600 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 289 + 360 + 0 = 666.

12772893600 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 (45).

It is not an unprimeable number, because it can be changed into a prime (12772893607) 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, 22686919 + ... + 22687481.

It is an arithmetic number, because the mean of its divisors is an integer number (109782036).

Almost surely, 2^12772893600 is an apocalyptic number.

12772893600 is a gapful number since it is divisible by the number (10) 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 12772893600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23712919776).

12772893600 is an abundant number, since it is smaller than the sum of its proper divisors (34652945952).

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

12772893600 is a wasteful number, since it uses less digits than its factorization.

12772893600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 12772893600 in words is "twelve billion, seven hundred seventy-two million, eight hundred ninety-three thousand, six hundred".