255759065280 has 672 divisors, whose sum is σ = 947080802304. Its totient is φ = 63196987392.

The previous prime is 255759065269. The next prime is 255759065291. The reversal of 255759065280 is 82560957552.

It is a happy number.

255759065280 is a `hidden beast` number, since 2 + 5 + 575 + 9 + 0 + 65 + 2 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (255759065269) and next prime (255759065291).

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 95 ways as a sum of consecutive naturals, for example, 351800277 + ... + 351801003.

It is an arithmetic number, because the mean of its divisors is an integer number (1409346432).

Almost surely, 2^255759065280 is an apocalyptic number.

255759065280 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 255759065280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473540401152).

255759065280 is an abundant number, since it is smaller than the sum of its proper divisors (691321737024).

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

255759065280 is a wasteful number, since it uses less digits than its factorization.

255759065280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 255759065280 in words is "two hundred fifty-five billion, seven hundred fifty-nine million, sixty-five thousand, two hundred eighty".