12796538630400 has 3240 divisors, whose sum is σ = 58143287966400. Its totient is φ = 2778975682560.

The previous prime is 12796538630383. The next prime is 12796538630443. The reversal of 12796538630400 is 403683569721.

12796538630400 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 6 + 538 + 63 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 85882809526 + ... + 85882809674.

It is a 1-persistent number, because it is pandigital, but 2⋅12796538630400 = 25593077260800 is not.

Almost surely, 2^{12796538630400} is an apocalyptic number.

12796538630400 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 12796538630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29071643983200).

12796538630400 is an abundant number, since it is smaller than the sum of its proper divisors (45346749336000).

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

12796538630400 is an frugal number, since it uses more digits than its factorization.

12796538630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 12796538630400 in words is "twelve trillion, seven hundred ninety-six billion, five hundred thirty-eight million, six hundred thirty thousand, four hundred".