255359010816 has 864 divisors, whose sum is σ = 935232480000. Its totient is φ = 67065643008.

The previous prime is 255359010763. The next prime is 255359010853. The reversal of 255359010816 is 618010953552.

255359010816 is a `hidden beast` number, since 2 + 5 + 53 + 590 + 1 + 0 + 8 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1068447625 + ... + 1068447863.

It is an arithmetic number, because the mean of its divisors is an integer number (1082445000).

Almost surely, 2^255359010816 is an apocalyptic number.

255359010816 is a gapful number since it is divisible by the number (26) 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 255359010816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467616240000).

255359010816 is an abundant number, since it is smaller than the sum of its proper divisors (679873469184).

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

255359010816 is a wasteful number, since it uses less digits than its factorization.

255359010816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 255359010816 in words is "two hundred fifty-five billion, three hundred fifty-nine million, ten thousand, eight hundred sixteen".