1266056811684 has 216 divisors, whose sum is σ = 4002129855360. Its totient is φ = 335400331392.

The previous prime is 1266056811661. The next prime is 1266056811697. The reversal of 1266056811684 is 4861186506621.

It is a happy number.

1266056811684 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 0 + 568 + 11 + 68 + 4 = 666.

It is a super-2 number, since 2×1266056811684² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1266056811684.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1173394 + ... + 1977110.

It is an arithmetic number, because the mean of its divisors is an integer number (18528378960).

Almost surely, 2^{1266056811684} is an apocalyptic number.

1266056811684 is a gapful number since it is divisible by the number (14) 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 1266056811684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001064927680).

1266056811684 is an abundant number, since it is smaller than the sum of its proper divisors (2736073043676).

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

1266056811684 is a wasteful number, since it uses less digits than its factorization.

1266056811684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803807 (or 803795 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

It can be divided in two parts, 1266056811 and 684, that multiplied together give a square (865982858724 = 930582²).

The spelling of 1266056811684 in words is "one trillion, two hundred sixty-six billion, fifty-six million, eight hundred eleven thousand, six hundred eighty-four".