1268918085600 has 1728 divisors, whose sum is σ = 5337490878720. Its totient is φ = 280350720000.

The previous prime is 1268918085599. The next prime is 1268918085607. The reversal of 1268918085600 is 65808198621.

It is a happy number.

1268918085600 is a `hidden beast` number, since 1 + 2 + 68 + 9 + 18 + 0 + 8 + 560 + 0 = 666.

It is a super-2 number, since 2×1268918085600² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268918085607) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8082280722 + ... + 8082280878.

It is an arithmetic number, because the mean of its divisors is an integer number (3088825740).

Almost surely, 2^{1268918085600} is an apocalyptic number.

1268918085600 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 1268918085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668745439360).

1268918085600 is an abundant number, since it is smaller than the sum of its proper divisors (4068572793120).

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

1268918085600 is a wasteful number, since it uses less digits than its factorization.

1268918085600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 1268918085600 in words is "one trillion, two hundred sixty-eight billion, nine hundred eighteen million, eighty-five thousand, six hundred".