255281515332480 has 2688 divisors, whose sum is σ = 1213721646439680. Its totient is φ = 50692262068224.

The previous prime is 255281515332479. The next prime is 255281515332509. The reversal of 255281515332480 is 84233515182552.

255281515332480 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 8 + 1 + 5 + 1 + 533 + 24 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 335 ways as a sum of consecutive naturals, for example, 5052352977 + ... + 5052403503.

It is an arithmetic number, because the mean of its divisors is an integer number (451533350610).

Almost surely, 2^{255281515332480} is an apocalyptic number.

255281515332480 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 255281515332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606860823219840).

255281515332480 is an abundant number, since it is smaller than the sum of its proper divisors (958440131107200).

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

255281515332480 is a wasteful number, since it uses less digits than its factorization.

255281515332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50608 (or 50574 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 255281515332480 in words is "two hundred fifty-five trillion, two hundred eighty-one billion, five hundred fifteen million, three hundred thirty-two thousand, four hundred eighty".