12755868083280 has 800 divisors, whose sum is σ = 53210069409024. Its totient is φ = 2770837880832.

The previous prime is 12755868083249. The next prime is 12755868083293. The reversal of 12755868083280 is 8238086855721.

It is a happy number.

12755868083280 is a `hidden beast` number, since 1 + 27 + 5 + 586 + 8 + 0 + 8 + 3 + 28 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 159 ways as a sum of consecutive naturals, for example, 72079384 + ... + 72256136.

Almost surely, 2^{12755868083280} is an apocalyptic number.

12755868083280 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 12755868083280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26605034704512).

12755868083280 is an abundant number, since it is smaller than the sum of its proper divisors (40454201325744).

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

12755868083280 is a wasteful number, since it uses less digits than its factorization.

12755868083280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176865 (or 176850 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 12755868083280 in words is "twelve trillion, seven hundred fifty-five billion, eight hundred sixty-eight million, eighty-three thousand, two hundred eighty".