1255823549568 has 576 divisors, whose sum is σ = 4458892066200. Its totient is φ = 337105649664.

The previous prime is 1255823549531. The next prime is 1255823549569. The reversal of 1255823549568 is 8659453285521.

It is a happy number.

1255823549568 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 8 + 23 + 5 + 49 + 568 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1255278233664 + 545315904 = 1120392^2 + 23352^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1255823549569) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 968251896 + ... + 968253192.

Almost surely, 2^{1255823549568} is an apocalyptic number.

1255823549568 is a gapful number since it is divisible by the number (18) 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 1255823549568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229446033100).

1255823549568 is an abundant number, since it is smaller than the sum of its proper divisors (3203068516632).

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

1255823549568 is a wasteful number, since it uses less digits than its factorization.

1255823549568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2335 counting only the distinct ones).

The product of its digits is 103680000, while the sum is 63.

The spelling of 1255823549568 in words is "one trillion, two hundred fifty-five billion, eight hundred twenty-three million, five hundred forty-nine thousand, five hundred sixty-eight".