255419071488 has 792 divisors, whose sum is σ = 920434892832. Its totient is φ = 67976036352.

The previous prime is 255419071487. The next prime is 255419071493. The reversal of 255419071488 is 884170914552.

255419071488 is a `hidden beast` number, since 2 + 5 + 5 + 4 + 1 + 90 + 71 + 488 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255419071487) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2633186256 + ... + 2633186352.

Almost surely, 2^255419071488 is an apocalyptic number.

255419071488 is a gapful number since it is divisible by the number (28) 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 255419071488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460217446416).

255419071488 is an abundant number, since it is smaller than the sum of its proper divisors (665015821344).

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

255419071488 is an frugal number, since it uses more digits than its factorization.

255419071488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 255419071488 in words is "two hundred fifty-five billion, four hundred nineteen million, seventy-one thousand, four hundred eighty-eight".