12773135770560 has 1344 divisors, whose sum is σ = 52872744038400. Its totient is φ = 2794084761600.

The previous prime is 12773135770541. The next prime is 12773135770583. The reversal of 12773135770560 is 6507753137721.

12773135770560 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 3 + 1 + 3 + 5 + 7 + 70 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12773135770497 and 12773135770506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1819790731 + ... + 1819797749.

Almost surely, 2^{12773135770560} is an apocalyptic number.

12773135770560 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 12773135770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26436372019200).

12773135770560 is an abundant number, since it is smaller than the sum of its proper divisors (40099608267840).

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

12773135770560 is a wasteful number, since it uses less digits than its factorization.

12773135770560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7210 (or 7197 counting only the distinct ones).

The product of its (nonzero) digits is 6482700, while the sum is 54.

The spelling of 12773135770560 in words is "twelve trillion, seven hundred seventy-three billion, one hundred thirty-five million, seven hundred seventy thousand, five hundred sixty".