12773600985600 has 3360 divisors, whose sum is σ = 59785550563200. Its totient is φ = 2686310645760.

The previous prime is 12773600985589. The next prime is 12773600985601. The reversal of 12773600985600 is 658900637721.

12773600985600 is a `hidden beast` number, since 1 + 2 + 7 + 73 + 6 + 0 + 0 + 9 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12773600985601) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 41607820647 + ... + 41607820953.

It is an arithmetic number, because the mean of its divisors is an integer number (17793318620).

Almost surely, 2^{12773600985600} is an apocalyptic number.

12773600985600 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 12773600985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29892775281600).

12773600985600 is an abundant number, since it is smaller than the sum of its proper divisors (47011949577600).

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

12773600985600 is an frugal number, since it uses more digits than its factorization.

12773600985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 12773600985600 in words is "twelve trillion, seven hundred seventy-three billion, six hundred million, nine hundred eighty-five thousand, six hundred".