255202968480 has 192 divisors, whose sum is σ = 816633498240. Its totient is φ = 66981441536.

The previous prime is 255202968473. The next prime is 255202968487. The reversal of 255202968480 is 84869202552.

It is an interprime number because it is at equal distance from previous prime (255202968473) and next prime (255202968487).

It is not an unprimeable number, because it can be changed into a prime (255202968487) 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 31 ways as a sum of consecutive naturals, for example, 10705054 + ... + 10728866.

It is an arithmetic number, because the mean of its divisors is an integer number (4253299470).

Almost surely, 2^255202968480 is an apocalyptic number.

255202968480 is a gapful number since it is divisible by the number (20) 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 255202968480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408316749120).

255202968480 is an abundant number, since it is smaller than the sum of its proper divisors (561430529760).

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

255202968480 is a wasteful number, since it uses less digits than its factorization.

255202968480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24183 (or 24175 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 255202968480 in words is "two hundred fifty-five billion, two hundred two million, nine hundred sixty-eight thousand, four hundred eighty".