12766921561600 has 240 divisors, whose sum is σ = 31729442556240. Its totient is φ = 5090914304000.

The previous prime is 12766921561523. The next prime is 12766921561607. The reversal of 12766921561600 is 616512966721.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12766921561607) 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 23 ways as a sum of consecutive naturals, for example, 9950834559 + ... + 9950835841.

It is an arithmetic number, because the mean of its divisors is an integer number (132206010651).

Almost surely, 2^{12766921561600} is an apocalyptic number.

12766921561600 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 12766921561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15864721278120).

12766921561600 is an abundant number, since it is smaller than the sum of its proper divisors (18962520994640).

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

12766921561600 is a wasteful number, since it uses less digits than its factorization.

12766921561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 12766921561600 in words is "twelve trillion, seven hundred sixty-six billion, nine hundred twenty-one million, five hundred sixty-one thousand, six hundred".