12773534400 has 378 divisors, whose sum is σ = 49909459236. Its totient is φ = 3096192000.

The previous prime is 12773534363. The next prime is 12773534429. The reversal of 12773534400 is 443537721.

12773534400 is a `hidden beast` number, since 12 + 7 + 73 + 534 + 40 + 0 = 666.

12773534400 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 (36).

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 53 ways as a sum of consecutive naturals, for example, 1738735 + ... + 1746065.

Almost surely, 2^12773534400 is an apocalyptic number.

12773534400 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 12773534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24954729618).

12773534400 is an abundant number, since it is smaller than the sum of its proper divisors (37135924836).

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

12773534400 is a wasteful number, since it uses less digits than its factorization.

12773534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7381 (or 7352 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 12773534400 in words is "twelve billion, seven hundred seventy-three million, five hundred thirty-four thousand, four hundred".