1255176268800 has 264 divisors, whose sum is σ = 4200954931200. Its totient is φ = 330475192320.

The previous prime is 1255176268781. The next prime is 1255176268811. The reversal of 1255176268800 is 88626715521.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5963761 + ... + 6170639.

Almost surely, 2^{1255176268800} is an apocalyptic number.

1255176268800 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 1255176268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100477465600).

1255176268800 is an abundant number, since it is smaller than the sum of its proper divisors (2945778662400).

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

1255176268800 is a wasteful number, since it uses less digits than its factorization.

1255176268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206991 (or 206968 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 1255176268800 in words is "one trillion, two hundred fifty-five billion, one hundred seventy-six million, two hundred sixty-eight thousand, eight hundred".