1255705804800 has 1296 divisors, whose sum is σ = 4969476308160. Its totient is φ = 313408880640.

The previous prime is 1255705804789. The next prime is 1255705804807. The reversal of 1255705804800 is 84085075521.

1255705804800 is a `hidden beast` number, since 1 + 2 + 55 + 70 + 58 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255705804807) 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 71 ways as a sum of consecutive naturals, for example, 15128985559 + ... + 15128985641.

It is an arithmetic number, because the mean of its divisors is an integer number (3834472460).

Almost surely, 2^{1255705804800} is an apocalyptic number.

1255705804800 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 1255705804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484738154080).

1255705804800 is an abundant number, since it is smaller than the sum of its proper divisors (3713770503360).

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

1255705804800 is an frugal number, since it uses more digits than its factorization.

1255705804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 1255705804800 in words is "one trillion, two hundred fifty-five billion, seven hundred five million, eight hundred four thousand, eight hundred".