1266508800 has 396 divisors, whose sum is σ = 4751660160. Its totient is φ = 321699840.

The previous prime is 1266508787. The next prime is 1266508801. The reversal of 1266508800 is 88056621.

It is a happy number.

1266508800 is a `hidden beast` number, since 12 + 66 + 508 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1266508801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5299081 + ... + 5299319.

Almost surely, 2^1266508800 is an apocalyptic number.

1266508800 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 1266508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375830080).

1266508800 is an abundant number, since it is smaller than the sum of its proper divisors (3485151360).

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

1266508800 is a wasteful number, since it uses less digits than its factorization.

1266508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1266508800 is about 35588.0429357952. The cubic root of 1266508800 is about 1081.9389038702.

The spelling of 1266508800 in words is "one billion, two hundred sixty-six million, five hundred eight thousand, eight hundred".