12773894400 has 540 divisors, whose sum is σ = 48463385124. Its totient is φ = 3317760000.

The previous prime is 12773894383. The next prime is 12773894411. The reversal of 12773894400 is 449837721.

12773894400 is a `hidden beast` number, since 127 + 7 + 3 + 89 + 440 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 702038016 + 12071856384 = 26496^2 + 109872^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21254100 + ... + 21254700.

Almost surely, 2^12773894400 is an apocalyptic number.

12773894400 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 12773894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24231692562).

12773894400 is an abundant number, since it is smaller than the sum of its proper divisors (35689490724).

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

12773894400 is an equidigital number, since it uses as much as digits as its factorization.

12773894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 12773894400 in words is "twelve billion, seven hundred seventy-three million, eight hundred ninety-four thousand, four hundred".