12579106566400 has 1296 divisors, whose sum is σ = 36969505800192. Its totient is φ = 4224581222400.

The previous prime is 12579106566373. The next prime is 12579106566409. The reversal of 12579106566400 is 466560197521.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12579106566409) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 99048083137 + ... + 99048083263.

Almost surely, 2^{12579106566400} is an apocalyptic number.

12579106566400 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 12579106566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18484752900096).

12579106566400 is an abundant number, since it is smaller than the sum of its proper divisors (24390399233792).

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

12579106566400 is a wasteful number, since it uses less digits than its factorization.

12579106566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 12579106566400 in words is "twelve trillion, five hundred seventy-nine billion, one hundred six million, five hundred sixty-six thousand, four hundred".