1266893404560 has 720 divisors, whose sum is σ = 5247642254400. Its totient is φ = 272341149696.

The previous prime is 1266893404507. The next prime is 1266893404577. The reversal of 1266893404560 is 654043986621.

1266893404560 is a `hidden beast` number, since 1 + 2 + 6 + 68 + 93 + 40 + 456 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 1266893404497 and 1266893404506.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93167682 + ... + 93181278.

It is an arithmetic number, because the mean of its divisors is an integer number (7288392020).

Almost surely, 2^{1266893404560} is an apocalyptic number.

1266893404560 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 1266893404560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623821127200).

1266893404560 is an abundant number, since it is smaller than the sum of its proper divisors (3980748849840).

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

1266893404560 is a wasteful number, since it uses less digits than its factorization.

1266893404560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13788 (or 13772 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 1266893404560 in words is "one trillion, two hundred sixty-six billion, eight hundred ninety-three million, four hundred four thousand, five hundred sixty".