255019968 has 224 divisors, whose sum is σ = 887577600. Its totient is φ = 70253568.

The previous prime is 255019951. The next prime is 255019991. The reversal of 255019968 is 869910552.

255019968 is a `hidden beast` number, since 2 + 550 + 1 + 9 + 96 + 8 = 666.

255019968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350421 + ... + 351147.

It is an arithmetic number, because the mean of its divisors is an integer number (3962400).

Almost surely, 2^255019968 is an apocalyptic number.

255019968 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 255019968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443788800).

255019968 is an abundant number, since it is smaller than the sum of its proper divisors (632557632).

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

255019968 is a wasteful number, since it uses less digits than its factorization.

255019968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 255019968 is about 15969.3446327644. The cubic root of 255019968 is about 634.1491222100.

The spelling of 255019968 in words is "two hundred fifty-five million, nineteen thousand, nine hundred sixty-eight".