12770857260288 has 720 divisors, whose sum is σ = 40723578403200. Its totient is φ = 3966724472832.

The previous prime is 12770857260283. The next prime is 12770857260319. The reversal of 12770857260288 is 88206275807721.

12770857260288 is a `hidden beast` number, since 1 + 27 + 70 + 8 + 5 + 7 + 260 + 288 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12770857260283) 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 79 ways as a sum of consecutive naturals, for example, 21536015320 + ... + 21536015912.

It is an arithmetic number, because the mean of its divisors is an integer number (56560525560).

Almost surely, 2^{12770857260288} is an apocalyptic number.

12770857260288 is a gapful number since it is divisible by the number (18) 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 12770857260288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20361789201600).

12770857260288 is an abundant number, since it is smaller than the sum of its proper divisors (27952721142912).

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

12770857260288 is a wasteful number, since it uses less digits than its factorization.

12770857260288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 12770857260288 in words is "twelve trillion, seven hundred seventy billion, eight hundred fifty-seven million, two hundred sixty thousand, two hundred eighty-eight".