12694544640000 has 2880 divisors, whose sum is σ = 52784033702400. Its totient is φ = 3008102400000.

The previous prime is 12694544639989. The next prime is 12694544640023. The reversal of 12694544640000 is 4644549621.

12694544640000 is a `hidden beast` number, since 1 + 2 + 69 + 4 + 544 + 6 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×12694544640000³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 309623039980 + ... + 309623040020.

It is an arithmetic number, because the mean of its divisors is an integer number (18327789480).

Almost surely, 2^{12694544640000} is an apocalyptic number.

12694544640000 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 12694544640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26392016851200).

12694544640000 is an abundant number, since it is smaller than the sum of its proper divisors (40089489062400).

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

12694544640000 is an equidigital number, since it uses as much as digits as its factorization.

12694544640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 12694544640000 in words is "twelve trillion, six hundred ninety-four billion, five hundred forty-four million, six hundred forty thousand".