12966566400 has 480 divisors, whose sum is σ = 50416058880. Its totient is φ = 3252879360.

The previous prime is 12966566399. The next prime is 12966566407. The reversal of 12966566400 is 466566921.

12966566400 is a `hidden beast` number, since 1 + 29 + 66 + 566 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (12966566407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5874097 + ... + 5876303.

It is an arithmetic number, because the mean of its divisors is an integer number (105033456).

Almost surely, 2^12966566400 is an apocalyptic number.

12966566400 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 12966566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25208029440).

12966566400 is an abundant number, since it is smaller than the sum of its proper divisors (37449492480).

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

12966566400 is a wasteful number, since it uses less digits than its factorization.

12966566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 12966566400 in words is "twelve billion, nine hundred sixty-six million, five hundred sixty-six thousand, four hundred".