1255311360 has 288 divisors, whose sum is σ = 4450020120. Its totient is φ = 327155712.

The previous prime is 1255311359. The next prime is 1255311403. The reversal of 1255311360 is 631135521.

1255311360 is a `hidden beast` number, since 125 + 531 + 1 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1254859776 + 451584 = 35424^2 + 672^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1255311360² = 3151613221090099200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4884352 + ... + 4884608.

Almost surely, 2^1255311360 is an apocalyptic number.

1255311360 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 1255311360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225010060).

1255311360 is an abundant number, since it is smaller than the sum of its proper divisors (3194708760).

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

1255311360 is a wasteful number, since it uses less digits than its factorization.

1255311360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1255311360 is about 35430.3734103946. The cubic root of 1255311360 is about 1078.7409195465.

Adding to 1255311360 its reverse (631135521), we get a palindrome (1886446881).

The spelling of 1255311360 in words is "one billion, two hundred fifty-five million, three hundred eleven thousand, three hundred sixty".