12766740480000 has 2000 divisors, whose sum is σ = 52716617391900. Its totient is φ = 3057647616000.

The previous prime is 12766740479993. The next prime is 12766740480017. The reversal of 12766740480000 is 8404766721.

12766740480000 is a `hidden beast` number, since 1 + 2 + 76 + 67 + 40 + 480 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 790932750336 + 11975807729664 = 889344^2 + 3460608^2 .

It is a tau number, because it is divible by the number of its divisors (2000).

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 99 ways as a sum of consecutive naturals, for example, 345047039982 + ... + 345047040018.

Almost surely, 2^{12766740480000} is an apocalyptic number.

12766740480000 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 12766740480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26358308695950).

12766740480000 is an abundant number, since it is smaller than the sum of its proper divisors (39949876911900).

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

12766740480000 is an frugal number, since it uses more digits than its factorization.

12766740480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 12766740480000 in words is "twelve trillion, seven hundred sixty-six billion, seven hundred forty million, four hundred eighty thousand".