1266209664480 has 1152 divisors, whose sum is σ = 5024327616000. Its totient is φ = 300610953216.

The previous prime is 1266209664479. The next prime is 1266209664491. The reversal of 1266209664480 is 844669026621.

1266209664480 is a `hidden beast` number, since 1 + 2 + 6 + 620 + 9 + 6 + 6 + 4 + 4 + 8 + 0 = 666.

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 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, 1921410391 + ... + 1921411049.

It is an arithmetic number, because the mean of its divisors is an integer number (4361395500).

Almost surely, 2^{1266209664480} is an apocalyptic number.

1266209664480 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 1266209664480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512163808000).

1266209664480 is an abundant number, since it is smaller than the sum of its proper divisors (3758117951520).

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

1266209664480 is an equidigital number, since it uses as much as digits as its factorization.

1266209664480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1266209664480 in words is "one trillion, two hundred sixty-six billion, two hundred nine million, six hundred sixty-four thousand, four hundred eighty".