12894567206400 has 1920 divisors, whose sum is σ = 54515103667200. Its totient is φ = 2954664345600.

The previous prime is 12894567206399. The next prime is 12894567206431. The reversal of 12894567206400 is 460276549821.

12894567206400 is a `hidden beast` number, since 1 + 2 + 89 + 456 + 72 + 0 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7781874372 + ... + 7781876028.

It is an arithmetic number, because the mean of its divisors is an integer number (28393283160).

Almost surely, 2^{12894567206400} is an apocalyptic number.

12894567206400 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 12894567206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27257551833600).

12894567206400 is an abundant number, since it is smaller than the sum of its proper divisors (41620536460800).

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

12894567206400 is a wasteful number, since it uses less digits than its factorization.

12894567206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 12894567206400 in words is "twelve trillion, eight hundred ninety-four billion, five hundred sixty-seven million, two hundred six thousand, four hundred".