255203698573824 has 1280 divisors, whose sum is σ = 939637299363840. Its totient is φ = 59399264010240.

The previous prime is 255203698573721. The next prime is 255203698573853. The reversal of 255203698573824 is 428375896302552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26339524372 + ... + 26339534060.

It is an arithmetic number, because the mean of its divisors is an integer number (734091640128).

Almost surely, 2^{255203698573824} is an apocalyptic number.

255203698573824 is a gapful number since it is divisible by the number (24) 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 255203698573824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469818649681920).

255203698573824 is an abundant number, since it is smaller than the sum of its proper divisors (684433600790016).

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

255203698573824 is a wasteful number, since it uses less digits than its factorization.

255203698573824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10241 (or 10225 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 69.

The spelling of 255203698573824 in words is "two hundred fifty-five trillion, two hundred three billion, six hundred ninety-eight million, five hundred seventy-three thousand, eight hundred twenty-four".