12746666948400 has 2880 divisors, whose sum is σ = 60432314941440. Its totient is φ = 2409200640000.

The previous prime is 12746666948399. The next prime is 12746666948417. The reversal of 12746666948400 is 484966664721.

It is a happy number.

12746666948400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 13127359915 + ... + 13127360885.

It is an arithmetic number, because the mean of its divisors is an integer number (20983442688).

Almost surely, 2^{12746666948400} is an apocalyptic number.

12746666948400 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 12746666948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30216157470720).

12746666948400 is an abundant number, since it is smaller than the sum of its proper divisors (47685647993040).

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

12746666948400 is a wasteful number, since it uses less digits than its factorization.

12746666948400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 12746666948400 in words is "twelve trillion, seven hundred forty-six billion, six hundred sixty-six million, nine hundred forty-eight thousand, four hundred".