1266084816480 has 1440 divisors, whose sum is σ = 5353638040800. Its totient is φ = 278913761280.

The previous prime is 1266084816473. The next prime is 1266084816517. The reversal of 1266084816480 is 846184806621.

It is a happy number.

1266084816480 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 0 + 84 + 81 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 43658097106 + ... + 43658097134.

It is an arithmetic number, because the mean of its divisors is an integer number (3717804195).

Almost surely, 2^{1266084816480} is an apocalyptic number.

1266084816480 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 1266084816480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676819020400).

1266084816480 is an abundant number, since it is smaller than the sum of its proper divisors (4087553224320).

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

1266084816480 is an equidigital number, since it uses as much as digits as its factorization.

1266084816480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 1266084816480 in words is "one trillion, two hundred sixty-six billion, eighty-four million, eight hundred sixteen thousand, four hundred eighty".